In this file is the data for astro part. Difference to version 1 is the correct implementation of the Laplace transformation. Changed the running of mS.

Nf=3;
LambdaMSbar=0.378;
ms0=.10;
Δ=0.0;
omegaCFL[muS_,mu1_,mu2_]:=-3Δ^2 ((muS+mu1+mu2)/3)^2/π^2;

Running alpha

beta0:=(11/3 CA-2/3 Nf)
beta1:=17/3 CA^2-CF Nf-5/3 CA Nf

Lfullbar[L_]:=2*Log[L/LambdaMSbar]

alphas0[barL_]:=4Pi/beta0/Lfullbar[barL]
alphas1[barL_]:=4Pi/beta0/Lfullbar[barL] (1-2beta1/beta0^2 Log[Lfullbar[barL]]/Lfullbar[barL])

asprime0[as_]:=-beta0 Pi/2 (as/Pi)^2
asprime1[as_]:=-beta0 Pi/2 (as/Pi)^2-beta1 Pi/4 (as/Pi)^3

Running ms

gamma0=3 CF;
gamma1=CF (97/6 CA+3/2 CF-5/3 Nf);
gamma2=CF (129/2 CF^2-129/4 CF CA+11413/108 CA^2+CF Nf (-23+24 Zeta[3])+CA Nf (-278/27-24 Zeta[3])-35/27 Nf^2);
beta0ver=1/4*beta0;
beta1ver=1/8*beta1;
beta2ver:=1/64*(2857/2-5033/18*Nf+325/54*Nf^2);
gamma0ver=1/4*gamma0;
gamma1ver=1/16*gamma1;
gamma2ver=1/64*gamma2;
A1=-beta1ver gamma0ver/beta0ver^2+gamma1ver/beta0ver;
A2=gamma0ver/beta0ver^2*(beta1ver^2/beta0ver-beta2ver)-beta1ver gamma1ver/beta0ver^2+gamma2ver/beta0ver;
Ialtmsrun1[barL_]:=ms0*(alphas0[barL]/alphas0[2])^(gamma0ver/beta0ver)*(1+A1 (alphas0[barL]/Pi))/(1+A1 (alphas0[2]/Pi))
Ialtmsrun2[barL_]:=ms0*(alphas1[barL]/alphas1[2])^(gamma0ver/beta0ver)*(1+A1 (alphas1[barL]/Pi)+(A1^2+A2) (alphas1[barL]/Pi)^2/2)/(1+A1 (alphas1[2]/Pi)+(A1^2+A2) (alphas1[2]/Pi)^2/2)

Massless 3 Flavour case

barLfuncf3[mu_,x_]:=x mu

omega0f3[mu_,barL_,as_]:=-Nf /4/Pi^2 mu^4
omega1f3[mu_,barL_,as_]:=-Nf/4/Pi^2 mu^4(1-2 (as/Pi))
omega2f3[mu_,barL_,as_]:=-Nf/4/Pi^2 mu^4(1-2 (as/Pi)-(10.374-0.536 Nf+Nf Log[Nf]+Nf Log[as/Pi]+(11-2/3 Nf)Log[barL/mu])(as/Pi)^2)

p0[mu_]:=-omega0f3[mu,1,1];
eps0[mu_]:=omega0f3[mu,1,1]+mu n0f3[mu];

Quark number densities, tree-level (n0), 1-loop (n1), 2-loop (n2): Λ=x μ

n0f3[mu_]:=Evaluate[-D[omega0f3[mu,2mu,alphas0[2mu]],mu]];

n1f3[mu_,x_]:=Evaluate[-D[omegaCFL[mu,mu,mu]+omega1f3[mu,barLfuncf3[mu,x],as[mu]],mu]/.as'[mu]->0/.as[mu]->alphas0[barLfuncf3[mu,x]]]

n2f3[mu_,x_]:=Evaluate[Evaluate[Evaluate[-D[omegaCFL[mu,mu,mu]+omega2f3[mu,barL,as],mu]]]/.as-> alphas1[barL]/.barL-> barLfuncf3[mu,x]]

Critical μ:s, 1-loop (rf1), 2-loop (rf2):

rf1f3[x_]:=Re[mu/.FindRoot[n1f3[mu,x]/n0f3[mu]==0,{mu,1,1.2}]]
rf2f3[x_]:=Re[mu/.FindRoot[n2f3[mu,x]/n0f3[mu]==0,{mu,1,1.2},MaxIterations->250]]

Define the particle number to vanish below critical μ :

pn1f3[mu_,x_]:=If[mu>rf1[x],n1[mu,x],0]
pn2f3[mu_,x_]:=If[mu>rf2[x],n2[mu,x],0]

Plot[{n1f3[mu,1 ]/n0f3[mu],n1f3[mu,4]/n0f3[mu],n1f3[mu,2 ]/n0f3[mu],n2f3[mu,1 ]/n0f3[mu],n2f3[mu,2 ]/n0f3[mu],n2f3[mu,4]/n0f3[mu]},{mu,0.2,2},PlotStyle->{{RGBColor[0,0,1]},RGBColor[0,0,1],RGBColor[0,0,1],RGBColor[1,0,0],RGBColor[1,0,0],RGBColor[1,0,0]},PlotRange->{0,1}]

Massless eos  -- 2 flavour

barLfuncf2[muU_,muD_,x_]:=x(muU+muD)/2

Running coupling for Nf = 2

beta0f2=(11/3 CA-2/3( Nf-1));
beta1f2=17/3 CA^2-CF (Nf-1)-5/3 CA (Nf-1);

alphas0f2[barL_]:=4Pi/beta0f2/Lfullbar[barL];
alphas1f2[barL_]:=4Pi/beta0f2/Lfullbar[barL] (1-2beta1f2/beta0f2^2 Log[Lfullbar[barL]]/Lfullbar[barL]);

asprime0f2[as_]:=-beta0f2 Pi/2 (as/Pi)^2
asprime1f2[as_]:=-beta0f2 Pi/2 (as/Pi)^2-beta1f2 Pi/4 (as/Pi)^3

Thermodynamics

omega0f2[mu1_,mu2_,barL_,as_]:=-1/4/Pi^2( mu1^4+mu2^4)
omega1f2[mu1_,mu2_,barL_,as_]:=-1/4/Pi^2 (mu1^4+mu2^4)(1-2 (as/Pi))
omega2f2[mu1_,mu2_,barL_,as_]:=-lnZm0[{mu1,mu2},4 Pi as,barL]-m0Zring[{mu1,mu2},4 Pi as,barL]

1 - loop :

un1f2[mu1_,mu2_,x_]:=Evaluate[-D[omegaCFL[3/2mu1,3/2mu2,0]+omega1f2[mu1,mu2,barL,as],mu1]/.barL-> barLfuncf2[mu1,mu2,x]/.as->alphas0f2[barLfuncf2[mu1,mu2,x]]]
dn1f2[mu1_,mu2_,x_]:=Evaluate[-D[omegaCFL[3/2mu1,3/2mu2,0]+omega1f2[mu1,mu2,barL,as],mu2]/.barL-> barLfuncf2[mu1,mu2,x]/.as->alphas0f2[barLfuncf2[mu1,mu2,x]]]

2 - loop :

dn2f2[mu1_,mu2_,x_]:=Evaluate[Evaluate[-D[omegaCFL[3/2mu1,3/2mu2,0]+omega2f2[mu1,mu2,barL,as],mu2]]/.as-> alphas1f2[barL]/.barL-> barLfuncf2[mu1,mu2,x]]
un2f2[mu1_,mu2_,x_]:=Evaluate[Evaluate[-D[omegaCFL[3/2mu1,3/2mu2,0]+omega2f2[mu1,mu2,barL,as],mu1]]/.as-> alphas1f2[barL]/.barL-> barLfuncf2[mu1,mu2,x]]

Electron chemical potential :

getmue1f2[mu_,x_]:=mue/.FindRoot[2/3un1f2[mu-mue,mu,x]-1/3dn1f2[mu-mue,mu,x]-mue^3/3/Pi^2,{mue,0.0001,0.001}]
getmue2f2[mu_,x_]:=mue/.FindRoot[2/3un2f2[mu-mue,mu,x]-1/3dn2f2[mu-mue,mu,x]-mue^3/3/Pi^2,{mue,0.0001,0.001}]
muQ2f2[mu_,x_]:=(mu+(mu-getmue2f2[mu,x]))/2

neutraln1f2[mu_,x_]:=un1f2[mu-getmue1f2[mu,x],mu,x]+dn1f2[mu-getmue1f2[mu,x],mu,x]
neutraln2f2[mu_,x_]:=un2f2[mu-getmue2f2[mu,x],mu,x]+dn2f2[mu-getmue2f2[mu,x],mu,x]+getmue2f2[mu,x]^3/(3π^2)
neutraln2f2Quark[mu_,x_]:=un2f2[mu-getmue2f2[mu,x],mu,x]+dn2f2[mu-getmue2f2[mu,x],mu,x]

neutraln2f2Quark[0.24,4]/n0f3[0.24]

Plot[muQ2f2[mu,4]/mu,{mu,0.2,1},PlotRange-> All]

nf2qX4=Table[{muQ2f2[mu,4],neutraln2f2Quark[mu,4]/n0f3[mu]},{mu,0.2,2.5,0.01}];
nf2qX2=Table[{muQ2f2[mu,2],neutraln2f2Quark[mu,2]/n0f3[mu]},{mu,0.35,2.5,0.01}];
nf2qX1=Table[{muQ2f2[mu,1],neutraln2f2Quark[mu,1]/n0f3[mu]},{mu,0.7,2.5,0.01}];
nf2X4=Table[{mu,neutraln2f2Quark[mu,4]/n0f3[mu]},{mu,0.2,2.5,0.01}];
nf2X2=Table[{mu,neutraln2f2Quark[mu,2]/n0f3[mu]},{mu,0.35,2.5,0.01}];
nf2X1=Table[{mu,neutraln2f2Quark[mu,1]/n0f3[mu]},{mu,0.7,2.5,0.01}];
ListPlot[{nf2qX1,nf2qX2,nf2qX4,nf2X1,nf2X2,nf2X4},PlotRange-> {0,1}]

nf2qX2[[12]]

neutraln2f2Quark[0.42,2]/n0f3[0.42]

Tabulated data :

nf2qX1

nf2qX2

nf2qX4

Export["nf2qX1_vs_muQ",nf2qX1,"List"]
Export["nf2qX2_vs_muQ",nf2qX2,"List"]
Export["nf2qX4_vs_muQ",nf2qX4,"List"]

Export["nf2qX1_vs_muS",nf2X1,"List"]
Export["nf2qX2_vs_muS",nf2X2,"List"]
Export["nf2qX4_vs_muS",nf2X4,"List"]

massive eos

Thermodynamics :

barLfunc[muS_,mu1_,mu2_,x_]:=x(muS+mu1+mu2)/3

momega0[mu_,vecmu_,as_,barL_,m_]:=-mu^4(1/4/Pi^2Sum[vecmu[[i]]^4(Nc/3),{i,1,Length[vecmu]}]+F1[m/mu])
momega1[mu_,vecmu_,as_,barL_,m_]:=-mu^4(1/4/Pi^2Sum[vecmu[[i]]^4(Nc/3-dA as/(4 Pi)),{i,1,Length[vecmu]}]+F1[m/mu])-mu^4as/(4 Pi) (F2a[m/mu]+F2b[m/mu] Log[barL/m])
momega2[mu_,vecmu_,as_,barL_,m_]:=-mu^4lnZtotal[vecmu,4 Pi as,barL/mu,m/mu]

sn1[mu_,mu1_,mu2_,as_,barL_,m_,x_]:=Evaluate[-D[omegaCFL[mu1,mu2,mu]+momega1[mu,{mu1/mu,mu2/mu},as,barL,m],mu]]
sn2[mu_,mu1_,mu2_,as_,barL_,m_,x_]:=Evaluate[Evaluate[-D[omegaCFL[mu1,mu2,mu]+momega2[mu,{mu1/mu,mu2/mu},as,barL,m],mu]]]
ln1[mu_,mu1_,mu2_,as_,barL_,m_,x_]:=Evaluate[Evaluate[-D[omegaCFL[mu1,mu2,mu]+momega1[mu,{mu1/mu,mu2/mu},as,barL,m],mu1]]]
ln2[mu_,mu1_,mu2_,as_,barL_,m_,x_]:=Evaluate[Evaluate[-D[omegaCFL[mu1,mu2,mu]+momega2[mu,{mu1/mu,mu2/mu},as,barL,m],mu1]]]

1 - loop

sn1[mu_,mue_,x_]:=Max[Re[sn1[mu,mu,mu-mue,alphas0[barL],barL,Ialtmsrun1[barL],x]/.barL->barLfunc[mu,mu,mu-mue,x]],0]
dn1[mu_,mue_,x_]:=ln1[mu,mu,mu-mue,alphas0[barL],barL,Ialtmsrun1[barL],x]/.barL->barLfunc[mu,mu,mu-mue,x]
un1[mu_,mue_,x_]:=ln1[mu,mu-mue,mu,alphas0[barL],barL,Ialtmsrun1[barL],x]/.barL->barLfunc[mu,mu-mue,mu,x]

sn2[mu_,mue_,x_]:=Max[Re[sn2[1.000001mu,mu,mu-mue,alphas1[barL],barL,Ialtmsrun2[barL],x]/.barL->barLfunc[mu,mu,mu-mue,x]],0]
sn2b[mu_,mue_,x_]:=Re[sn2[1.000001mu,mu,mu-mue,alphas1[barL],barL,Ialtmsrun2[barL],x]/.barL->barLfunc[mu,mu,mu-mue,x]]
dn2[mu_,mue_,x_]:=Max[ln2[1.000001mu,mu,mu-mue,alphas1[barL],barL,Ialtmsrun2[barL],x]/.barL->barLfunc[mu,mu,mu-mue,x],0]
un2[mu_,mue_,x_]:=Max[ln2[1.000001mu,mu-mue,mu,alphas1[barL],barL,Ialtmsrun2[barL],x]/.barL->barLfunc[mu,mu-mue,mu,x],0]

Electric neutrality :

getmue1[mu_,x_]:=mue/.FindRoot[2/3un1[mu,mue,x]-1/3dn1[mu,mue,x]-1/3sn1[mu,mue,x]-mue^3/3/Pi^2,{mue,0.001,0.01}]
getmue2[mu_,x_]:=mue/.FindRoot[2/3un2[mu,mue,x]-1/3dn2[mu,mue,x]-1/3sn2[mu,mue,x]-mue^3/3/Pi^2,{mue,0.001,0.01}]

neutraln1total[mu_,x_]:=(sn1[mu,mue,x]+un1[mu,mue,x]+dn1[mu,mue,x])/.mue->getmue1[mu,x]
neutraln2total[mu_,x_]:=(sn2[mu,mue,x]+un2[mu,mue,x]+dn2[mu,mue,x]+mue^3/(3π^2))/.mue->getmue2[mu,x]
neutralsn1total[mu_,x_]:=(sn1[mu,mue,x])/.mue->getmue1[mu,x]
neutralsn2total[mu_,x_]:=(sn2[mu,mue,x])/.mue->getmue2[mu,x]

n2total[mu_,x_]:={mu,sn2[mu,mue,x],un2[mu,mue,x],dn2[mu,mue,x],mue^3/(3π^2)}/.mue->getmue2[mu,x]

dgetmue2[mu_,x_,eps_]:=(getmue2[mu+eps,x]-getmue2[mu-eps,x])/2/eps;

Mass - Radius curves from Tolmann - Oppenheimer - Volkov

G=1/(1.2211* 10^(19))^2;

GeVtokg=1.7827 *10^(-27);

ooGeVtokm=1.9733 10^(-16)/1000;

newNUQSPress[EOST_,LAST_]:=Module[{rho,rhou,M,dp,p,r,dr,dr2,cnt},
(*LAST=Length[EOST];*)
(*LAST=30;*)
p=EOST[[LAST,1]];
rho=EOST[[LAST,2]];
dp=(EOST[[LAST-1,1]]-EOST[[LAST,1]]);
dr=Sqrt[-dp/4/Pi/G/(p+rho)/(p+rho/3)];
r=dr;
M=4*Pi*dr^3/3*rho;
cnt=0;
While[LAST-cnt>2,cnt=cnt+1;
p=EOST[[LAST-cnt,1]];
rho=EOST[[LAST-cnt,2]];
rhou=EOST[[LAST-cnt-1,2]];
dp=(EOST[[LAST-1-cnt,1]]-EOST[[LAST-cnt,1]]);
dr=-dp*1/N[G*(p+rho)*(M+4*Pi*p*r^3)/(r-2*G*M)/r];p=EOST[[LAST-cnt-1,1]];
dr2=-dp*1/N[G*(p+rhou)*(M+4 Pi rhou (r+dr)^2 dr+4*Pi*p*(r+dr)^3)/(r+dr-2*G*(M+4 rhou Pi (r+dr)^2 dr))/(r+dr)];
dr=(dr+dr2)/2;
M=N[M+4*Pi*(rho+rhou)/2*(r+dr/2)^2*dr];
r=N[r+dr];];{r*ooGeVtokm,M*GeVtokg/1.989/10^(30)}]

Nucleonic EoS

nucl=Import["~/Desktop/source/av18_uix_dvbA.dat"];
nucl=Delete[nucl,1];
gevtoinvfm=5.06842372022301
Msolartogev=1.98892 10^30/(1.783 10^(-27))

nuclp=Transpose[{(nucl[[All,1]]+nucl[[All,2]])/nucl[[All,3]]Msolartogev 10^(-54)/3,nucl[[All,2]]Msolartogev 10^(-54)/gevtoinvfm^3}];

nucleps=Transpose[{(nucl[[All,1]]+nucl[[All,2]])/nucl[[All,3]]Msolartogev 10^(-54)/3,nucl[[All,1]]/gevtoinvfm^3Msolartogev 10^(-54)}];

Show[ListPlot[nuclp,PlotStyle-> RGBColor[1,0,0]],ListPlot[nucleps]]

kaon=Import["~/Desktop/source/schaf1.dat"];
kaon=Delete[kaon,1];

kaonp=Transpose[{(kaon[[All,1]]+kaon[[All,2]])/kaon[[All,3]]Msolartogev 10^(-54)/3,kaon[[All,2]]Msolartogev 10^(-54)/gevtoinvfm^3}];

kaoneps=Transpose[{(kaon[[All,1]]+kaon[[All,2]])/kaon[[All,3]]Msolartogev 10^(-54)/3,kaon[[All,1]]/gevtoinvfm^3Msolartogev 10^(-54)}];

Show[ListPlot[kaonp,PlotStyle-> RGBColor[1,0,0]],ListPlot[kaoneps],ListPlot[nuclp],ListPlot[nucleps]]

hyperon=Import["~/Desktop/source/V18UIXNSC89.DAT"];
hyperon=Delete[hyperon,1];
hyperon=Delete[hyperon,254];
hyperon=Delete[hyperon,253];
hyperon=Delete[hyperon,252];

hyperonp=Transpose[{(hyperon[[All,1]]+hyperon[[All,2]])/hyperon[[All,3]]/1000/3,hyperon[[All,2]]/gevtoinvfm^3/1000}];

hyperoneps=Transpose[{(hyperon[[All,1]]+hyperon[[All,2]])/hyperon[[All,3]]/1000/3,hyperon[[All,1]]/gevtoinvfm^3/1000}];

ListPlot[{hyperonp,hyperoneps}]

ListPlot[{hyperonp,nuclp,kaonp},PlotRange-> {{0.31,0.33},{0,0.00004}}]

Kaon Star

kaoneos=Reverse[Transpose[{kaonp[[All,2]],kaoneps[[All,2]]}]];

nucleos=Reverse[Transpose[{nuclp[[All,2]],nucleps[[All,2]]}]];

hyperoneos=Reverse[Transpose[{hyperonp[[All,2]],hyperoneps[[All,2]]}]];

nucleos

kaoneos

hyperoneos[[67]]

tmp={}
Do[tmp=Append[tmp,hyperoneos[[i,All]]],{i,1,67}]
tmp=Join[tmp,kaoneos]

ListPlot[{kaoneos,nucleos,hyperoneos,tmp},PlotRange-> {{0,0.00002},{0,0.001}}]

ListPlot[Transpose[{kaonp[[All,1]],kaoneps[[All,2]]/eps0[kaonp[[All,1]]]}]]

KaonStar=Table[newNUQSPress[tmp,n],{n,69,203,1}];
ListPlot[KaonStar,PlotRange-> {{5,20},{0,2.5}}]

HyperonStar=Table[newNUQSPress[hyperoneos,n],{n,2,250,1}];
ListPlot[HyperonStar,PlotRange-> {{5,20},{0,2.5}}]

Export["KaonStar",KaonStar,"List"]

Exclusion Plot

Δ
LambdaMSbar
ms0

MuQ[mu_,x_]:=mu-1/3 getmue2[mu,x]

MuQ[0.32775,3.269]
neutralsn2total[0.32775, 3.269]

Particle number as a function of mu_Quark Δ=0

Tabulated data, Central values Δ=0

NtableX4={{0.2`,0,0,0,7.004411833477695`*^-25},{0.21000000000000002`,0,0,0,7.004411833477695`*^-25},{0.22`,0,0,0,7.004411833477695`*^-25},{0.23`,0,2.654003229999662`*^-6,5.307546485737719`*^-6,1.5332475380496902`*^-10},{0.24000000000000002`,0,0.000040623939203757986`,0.0000806742780563425`,1.9120011645288156`*^-7},{0.25`,0,0.0000938768321309949`,0.00018524179659653946`,8.372892218129979`*^-7},{0.26`,0,0.00015933314569836017`,0.00031359031358486243`,1.691992603908937`*^-6},{0.27`,0,0.00023364232455914141`,0.00045954835657190904`,2.5787641820587765`*^-6},{0.28`,0,0.00031510485244237035`,0.0006198419828185652`,3.4559073553363732`*^-6},{0.29000000000000004`,0,0.00040312936643795193`,0.0007932763831998267`,4.327449891985073`*^-6},{0.30000000000000004`,0,0.000497647900582557`,0.000979677896929751`,5.205968078425073`*^-6},{0.31`,0,0.000598821219741815`,0.0011793327521325767`,6.103229116995595`*^-6},{0.32`,0,0.0007069079918898939`,0.0013927299133882907`,7.028690130498574`*^-6},{0.33`,0.0001910288345791859`,0.000924455911631049`,0.0016424603451446248`,5.140881179403675`*^-6},{0.34`,0.0004953970141639726`,0.0012077982004303875`,0.0019108307480539966`,3.12287954760148`*^-6},{0.35`,0.0007985980589624996`,0.001496137760303824`,0.0021875036573680215`,2.0579347590410656`*^-6},{0.36`,0.0011077499330956432`,0.001794143801483099`,0.0024762428720464507`,1.4315992740046052`*^-6},{0.37`,0.001426829915894409`,0.002104575908111646`,0.002779214564168478`,1.0357787200697047`*^-6},{0.38`,0.001758422243540393`,0.002429317581554412`,0.0030978959970858967`,7.723074941704711`*^-7},{0.39`,0.0021043919348181723`,0.002769789339754494`,0.003433417222926274`,5.898405881811185`*^-7},{0.4`,0.002466191380066168`,0.003127141777320023`,0.0037867138771621477`,4.594324705783588`*^-7},{0.41000000000000003`,0.00284501659729102`,0.003502356059482376`,0.004158604112571735`,3.638030340003025`*^-7},{0.42000000000000004`,0.003241898036049762`,0.0038963027499487775`,0.004549831003842135`,2.921533352190892`*^-7},{0.43000000000000005`,0.0036577477523719966`,0.004309773698707319`,0.004961087198554134`,2.3748216283551842`*^-7},{0.44`,0.004093398347992818`,0.004743507085741344`,0.005393030511421617`,1.9510401885728478`*^-7},{0.45`,0.004549620981862021`,0.0051982000633696976`,0.0058462937420751615`,1.618009327589657`*^-7},{0.46`,0.005027142125111787`,0.005674519730034952`,0.006321491401465954`,1.3531116362242887`*^-7},{0.47000000000000003`,0.005526655980871953`,0.006173111188109191`,0.006819224357416498`,1.1401264316911745`*^-7},{0.48000000000000004`,0.00604882844199622`,0.006694600804072873`,0.007340082998789659`,9.672245324463348`*^-8},{0.49`,0.006594304254094746`,0.007239600794405027`,0.007884649642696296`,8.256400632450086`*^-8},{0.5`,0.00716371510608722`,0.0078087140498563435`,0.008453500359771191`,7.087795142115474`*^-8},{0.51`,0.007757675986045473`,0.008402532803514613`,0.009047206131421985`,6.11631872542208`*^-8},{0.52`,0.00837679204424542`,0.009021642546971258`,0.009666333948067714`,5.303387646132431`*^-8},{0.53`,0.009021657766279018`,0.009666621931910886`,0.010311447527037198`,4.6190168523991`*^-8},{0.54`,0.009692866816988926`,0.01033804803658316`,0.0109831080681862`,4.039599706680612`*^-8},{0.55`,0.010391000357143392`,0.01103649062247197`,0.011681874492549411`,3.546508344959006`*^-8},{0.56`,0.011116636434369033`,0.011762517081077364`,0.012408303982192084`,3.1248531222893666`*^-8},{0.5700000000000001`,0.011870348400300552`,0.012516691762229736`,0.013162952244295022`,2.7626621595181115`*^-8},{0.5800000000000001`,0.01265270771346336`,0.01329957750771702`,0.013946373795064724`,2.450230292122083`*^-8},{0.5900000000000001`,0.013464281256261732`,0.014111734379164813`,0.014759122112349612`,2.1796574601470045`*^-8},{0.6000000000000001`,0.014305633847196967`,0.014953721009617333`,0.015601749838140474`,1.9444635302311137`*^-8},{0.6100000000000001`,0.01517732808293834`,0.015826094585849784`,0.016474808909598713`,1.7393058144261084`*^-8},{0.62`,0.016079924768786093`,0.016729411119377136`,0.0173788506773103`,1.5597557595577194`*^-8},{0.63`,0.017013980059101118`,0.017664224042750917`,0.01831442596238289`,1.4021345100584434`*^-8},{0.64`,0.017980057973668577`,0.01863109058710719`,0.019282085300537658`,1.263334257218524`*^-8},{0.65`,0.018978712492400553`,0.01963056274343746`,0.02028237877138027`,1.1407705087828948`*^-8},{0.66`,0.0200104993100024`,0.020663193245331272`,0.021315856213074396`,1.0322535996202874`*^-8},{0.67`,0.021075973278557363`,0.021729534296453065`,0.022383067236530343`,9.35928042194992`*^-9},{0.6799999999999999`,0.022175688452987244`,0.022830137613391845`,0.023484561267345758`,8.502157920710701`*^-9},{0.69`,0.023310198311221893`,0.023965554554417203`,0.02462088758454247`,7.737697652866993`*^-9},{0.7`,0.024480055767272857`,0.02513633614094166`,0.025792595351544552`,7.054362835277375`*^-9},{0.71`,0.02568580827927712`,0.026343030598217198`,0.027000233590237035`,6.4423140565234705`*^-9},{0.72`,0.026928017910143508`,0.027586193504862605`,0.02824435142103861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Tabluated data Δ, Favourable values L = 0.346, m = 0.07

NtableX4FC={{0.27491`,0,0.00038694855870418694`,0.0007617908436080335`,4.035424600113576`*^-6},{0.28491`,0.0002390923211397128`,0.0006038142661769769`,0.0009632244104379032`,1.7706002587779116`*^-6},{0.29491`,0.0004635888882434417`,0.0008146612108231855`,0.0011628447538939352`,9.629265029968107`*^-7},{0.30491`,0.0006888654649222297`,0.0010301478704848321`,0.001369676250202475`,5.8467528159882`*^-7},{0.31490999999999997`,0.0009208269420006277`,0.0012545880073491506`,0.0015872067708167289`,3.8076729364735474`*^-7},{0.32491`,0.001162647934424374`,0.001490399900405849`,0.0018173701897961322`,2.605588637303044`*^-7},{0.33491`,0.00141637999573307`,0.0017392079508208407`,0.0020614806674789654`,1.8507947655071882`*^-7},{0.34491`,0.0016835209084044094`,0.002002240675095422`,0.0023205542916301353`,1.353833822155385`*^-7},{0.35491`,0.001965257147403776`,0.00228050328784479`,0.0025954451610584956`,1.0142240865937117`*^-7},{0.36490999999999996`,0.002262588536219858`,0.002574866374551418`,0.0028869117023190578`,7.750352125599174`*^-8},{0.37490999999999997`,0.0025763917367480774`,0.00288611220004809`,0.0031956519708904196`,6.023081922349947`*^-8},{0.38491`,0.0029074638742544604`,0.003214965288741484`,0.003522324231637612`,4.749053029997983`*^-8},{0.39491`,0.0032565424049195713`,0.0035621077114305387`,0.003867559254220622`,3.792124029259396`*^-8},{0.40491`,0.0036243227401242086`,0.003928191473431454`,0.004231968348351086`,3.061946267839726`*^-8},{0.41491`,0.004011473322155747`,0.00431384849750651`,0.004616148763854256`,2.496967036731574`*^-8},{0.42491`,0.004418635519902162`,0.004719692128313841`,0.005020687104496362`,2.054408433655966`*^-8},{0.43491`,0.0048464336548980445`,0.005146323394700917`,0.005446162017269551`,1.7039092021992923`*^-8},{0.44491`,0.00529547910462299`,0.005594333921230791`,0.005893146031432969`,1.4235487702677802`*^-8},{0.45491`,0.005766371387723431`,0.006064307088008792`,0.006362206870284737`,1.1972692734278415`*^-8},{0.46491`,0.0062597014850201815`,0.006556820185694029`,0.006853908492321194`,1.0131374021809457`*^-8},{0.47491`,0.006776051766189371`,0.007072444730037538`,0.00736881182850839`,8.621818384897554`*^-9},{0.48490999999999995`,0.007316003671202286`,0.007611750647247244`,0.007907475496691779`,7.375559152238584`*^-9},{0.49490999999999996`,0.007880129518656596`,0.008175302314389442`,0.008470456089775327`,6.340140285718607`*^-9},{0.50491`,0.008468999002463642`,0.008763662039534837`,0.009058308652215949`,5.474796698820659`*^-9},{0.51491`,0.009083178590326712`,0.009377389890271271`,0.009671586947388875`,4.7476089873999804`*^-9},{0.52491`,0.009723232121333355`,0.010017044107418192`,0.010310843693365412`,4.1333792053580895`*^-9},{0.53491`,0.01038971863020163`,0.010683180090714913`,0.010976630714887678`,3.6121135108261946`*^-9},{0.54491`,0.011083203077785032`,0.011376355916534958`,0.011669499252308944`,3.1676586496811663`*^-9},{0.55491`,0.011804241344287682`,0.012097124782863983`,0.012389999860068009`,2.78712409807072`*^-9},{0.56491`,0.012553390287255103`,0.01284604016404545`,0.01313868266079234`,2.460014482501471`*^-9},{0.57491`,0.013331205613832282`,0.013623654772354265`,0.013916097397572864`,2.1777678037603624`*^-9},{0.58491`,0.014138242110622808`,0.014430520709189662`,0.014722793507674019`,1.933360832134581`*^-9},{0.59491`,0.014975053753736891`,0.015267189550272545`,0.01555932018379761`,1.7210035366882805`*^-9},{0.6049100000000001`,0.015842193838064966`,0.01613421243579761`,0.016426226425831785`,1.5358994901140327`*^-9},{0.6149100000000001`,0.016740211747922798`,0.017032138458063974`,0.017324061045963166`,1.374080657505829`*^-9},{0.6249100000000001`,0.01766966641528136`,0.017961521486744687`,0.018253372861722947`,1.232161694726943`*^-9},{0.63491`,0.018631106521398634`,0.01892291016870557`,0.019214710493907914`,1.107368203032597`*^-9},{0.64491`,0.019625083536462556`,0.019916854537844766`,0.020208622547200704`,9.973420933072393`*^-10},{0.65491`,0.020652148650602095`,0.02094390447338068`,0.021235657595891334`,9.000893102939209`*^-10},{0.66491`,0.021712852777167696`,0.02200460971102473`,0.022296364203128183`,8.139178626195154`*^-10},{0.67491`,0.022807746661013907`,0.02309951990572004`,0.023391290938265395`,7.373869369067301`*^-10},{0.68491`,0.023937380873157034`,0.024229184636055546`,0.024520986391156636`,6.692658114167923`*^-10},{0.6949099999999999`,0.025102305851825685`,0.02539415343097354`,0.025685999184621583`,6.084999348796219`*^-10},{0.7049099999999999`,0.026303071930020898`,0.02659497578885767`,0.02688687798514543`,5.541830308681538`*^-10},{0.7149099999999999`,0.027540223168994973`,0.02783219807005779`,0.028124171454470565`,5.05550022812331`*^-10},{0.7249099999999999`,0.028814321800596163`,0.029106375836132604`,0.029398428485988972`,4.618933680291186`*^-10},{0.73491`,0.030125912330864382`,0.030418055736202414`,0.030710197873607438`,4.2264434280886584`*^-10},{0.74491`,0.03147554488588317`,0.031767787293024895`,0.032060028538281486`,3.8729503315316476`*^-10},{0.75491`,0.03286376958025744`,0.03315612006290285`,0.033448469479338785`,3.554031625081743`*^-10},{0.76491`,0.034291136529539426`,0.034583603644010696`,0.034876069778733886`,3.265827075321042`*^-10},{0.77491`,0.03575819586114738`,0.03605078768365205`,0.036343378604668776`,3.004959822246664`*^-10},{0.78491`,0.0372654977372574`,0.03755822189128408`,0.037850945214769983`,2.768469224343336`*^-10},{0.79491`,0.03881359231028898`,0.03910645601737427`,0.03939931895833314`,2.5537548088945266`*^-10}};

X = 4

//NtableX4=Table[ n2total[mu, 4.0], {mu, 0.2, 2.5, 0.01}];
//NtableX2=Table[ n2total[mu, 2.0], {mu, 0.4, 2.5, 0.01}];
//NtableX1=Table[ n2total[mu, 1.0], {mu, 0.72, 2.5, 0.01}];

//NtableX3=Table[ n2total[mu, 3.0], {mu, 0.31, 2.5, 0.01}];

n2total[0.31,3.0]

Ntable=NtableX1;

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=Re[((3π^2)Ne[mu]*n0f3[mu])^(1/3)]
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
NqvsMuQ=Transpose[{Ntable[[All,1]]-Re[1/3(Ntable[[All,5]]*(3π^2))^(1/3)],Neutraln2total[[All,2]]}];

ListPlot[{Neutraln2total,NqvsMuQ},PlotRange-> {0,1}]

Mue[2.0]

//Export["NqvsMuQX1",NqvsMuQ,"List"]

Particle number as a function of mu_Quark Δ=0.1GeV

Nf=3;
LambdaMSbar=0.378;
ms0=.10;
Δ=0.00;
omegaCFL[muS_,mu1_,mu2_]:=-3Δ^2 ((muS+mu1+mu2)/3)^2/π^2;

Tabulated data, Favored values Δ=0.1

NtableX4D1FV={{0.265098`,0.00003805601433697943`,0.0005297360584157794`,0.0009218613376866748`,0.000033183502232660486`},{0.266098`,0.0001831565777908465`,0.0006267148147218736`,0.0010208975992032966`,0.00001645848414986693`},{0.267098`,0.00024380206795293418`,0.0006729993315978684`,0.0010649271043761638`,0.000012423163622201963`},{0.268098`,0.0002915693608995642`,0.0007111757696478905`,0.0011006583539990282`,0.000010041274799062722`},{0.269098`,0.00033297240244693186`,0.000745263560937045`,0.0011323330572915202`,8.40722071100527`*^-6},{0.270098`,0.00037047555892317694`,0.0007768126500472931`,0.0011615532037758873`,7.198845798455301`*^-6},{0.271098`,0.0004053175722629264`,0.000806614528697809`,0.001189122698516826`,6.262928871951533`*^-6},{0.272098`,0.00043822143678757527`,0.0008351375254301557`,0.001215509892296789`,5.514573925315823`*^-6},{0.273098`,0.00046965077091257223`,0.000862685631193572`,0.0012410145564391594`,4.901978345137168`*^-6},{0.274098`,0.0004999229030044775`,0.0008894692111712496`,0.001265841506068472`,4.3913377565160565`*^-6},{0.275098`,0.0005292658578044136`,0.0009156409384290349`,0.0012901376196163762`,3.959466479092982`*^-6},{0.276098`,0.0005578496615497939`,0.0009413156969987294`,0.0013140122119613988`,3.5898401607568094`*^-6},{0.277098`,0.0005858037430584049`,0.0009665817957367723`,0.001337548851902931`,3.270332170282808`*^-6},{0.278098`,0.0006132333587029411`,0.0009915112549959326`,0.0013608138859904032`,2.991755099345795`*^-6},{0.279098`,0.0006402198285075874`,0.0010161604545556719`,0.001383859818225744`,2.7470874592772685`*^-6},{0.280098`,0.0006668305682733683`,0.0010405763413370434`,0.0014067296693467055`,2.5308150179819942`*^-6},{0.281098`,0.0006931214744265867`,0.0010647980859741653`,0.0014294590396493386`,2.3385526241250013`*^-6},{0.282098`,0.0007191394374112545`,0.0010888587492689154`,0.0014520777598722124`,2.166767084785418`*^-6},{0.283098`,0.00074492430445307`,0.0011127865796400445`,0.0014746111217877095`,2.0125776797691826`*^-6},{0.284098`,0.0007705102332029542`,0.0011366059226837805`,0.0014970807766952069`,1.8736118231334246`*^-6},{0.285098`,0.0007959267731505437`,0.0011603379463082835`,0.001519505427466526`,1.7478973331654626`*^-6},{0.286098`,0.0008211992835117004`,0.0011840009673037897`,0.0015419012984045613`,1.6337842304396714`*^-6},{0.287098`,0.0008463512210556007`,0.001207611818444673`,0.0015642828036828665`,1.5298707169604399`*^-6},{0.288098`,0.000871402191971396`,0.0012311848040179535`,0.0015866624957958366`,1.434973422891029`*^-6},{0.289098`,0.000896369987440813`,0.0012547329013635465`,0.0016090515827513459`,1.3480775116449496`*^-6},{0.290098`,0.0009212705166715434`,0.0012782677626039722`,0.0016314600785228073`,1.2683100045324443`*^-6},{0.291098`,0.0009461180780230173`,0.0013017999015216392`,0.001653896976922272`,1.1949160326626168`*^-6},{0.292098`,0.0009709255928856208`,0.0013253388539628793`,0.0016763703960628936`,1.1272396590814811`*^-6},{0.293098`,0.0009957047464575746`,0.0013488932816131173`,0.001698887691031515`,1.0647085790484618`*^-6},{0.294098`,0.0010204662112145652`,0.0013724711182637756`,0.0017214555620861148`,1.0068210756240892`*^-6},{0.29509799999999997`,0.0010452197318456288`,0.0013960796355425133`,0.0017440801318168381`,9.531358075195909`*^-7},{0.296098`,0.001069974246641106`,0.0014197255264808367`,0.0017667670170311114`,9.03263094887497`*^-7},{0.297098`,0.0010947379815201023`,0.0014434149716416444`,0.0017895213886399775`,8.568577066652238`*^-7},{0.298098`,0.0011195185586529918`,0.0014671537114744665`,0.001812348026147178`,8.136127155312556`*^-7},{0.299098`,0.0011443229509801318`,0.0014909470318615254`,0.0018352513482518427`,7.732548298703789`*^-7},{0.300098`,0.0011691577155379608`,0.0015147999025230579`,0.0018582354711774171`,7.355394432460524`*^-7},{0.301098`,0.0011940289304209141`,0.0015387169503621075`,0.0018813042280786288`,7.002474079964685`*^-7},{0.302098`,0.001218942268330776`,0.0015627025074012666`,0.001904461201061608`,6.671818032275918`*^-7},{0.303098`,0.0012439030362579114`,0.0015867606391450698`,0.0019277097462605912`,6.361652571048345`*^-7},{0.304098`,0.001268916220280252`,0.001610895175000534`,0.001951053016872298`,6.070376160981764`*^-7},{0.305098`,0.0012939864758655635`,0.0016351097081935858`,0.0019744939783194236`,5.796540673428771`*^-7},{0.306098`,0.0013191182155066292`,0.001659407648447951`,0.001998035431649098`,5.538832466888211`*^-7},{0.307098`,0.0013443155935317969`,0.0016837922178435543`,0.0020216800245985646`,5.296058522236058`*^-7},{0.308098`,0.0013695825369352225`,0.0017082664714549833`,0.002045430266039644`,5.067133116828699`*^-7},{0.309098`,0.0013949227645404106`,0.001732833311223128`,0.00206928853798401`,4.851066405997437`*^-7},{0.310098`,0.0014203398041508254`,0.0017574954983924623`,0.002093257106310916`,4.646954410519087`*^-7},{0.311098`,0.0014458365674151535`,0.001782255425387273`,0.002117338089628274`,4.4539791036661486`*^-7},{0.312098`,0.0014714171242531874`,0.0018071160825421525`,0.0021415336314012613`,4.271364766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Tabulated data, Central values Δ=0.1

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X = 4

NtableX4D1=Table[ n2total[mu, 4.0], {mu, 0.31, 1.8, 0.01}];

NtableX3D1=Table[ n2total[mu, 3.3], {mu, 0.31, 1.8, 0.01}];

Ntable=NtableX4D1;

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=Re[((3π^2)Ne[mu]*n0f3[mu])^(1/3)]
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
NqvsMuQ=Transpose[{Ntable[[All,1]]-Re[1/3(Ntable[[All,5]]*(3π^2))^(1/3)],Neutraln2total[[All,2]]}];

ListPlot[{Neutraln2total,NqvsMuQ},PlotRange-> {0,1}]

Mue[1.0]

Strange quark matter

EoS for most favorable case 2 Massless Flavors (Lmsbar = 0.346, m = 0.07, L = 3.7 mu) Without CSC

mumax=0.275740443
Neutraln2totalf2= Table[{mu, neutraln2f2[mu, 3.7]/n0f3[mu]}, {mu, mumax, 1.8, 0.001}];

Neutraln2totalf2[[1]]

neutraln2totalIf2:=Interpolation[Neutraln2totalf2]

neutraln2totalp[x_]:=If[x<mumax,0,neutraln2totalIf2[x]]
neutralp2total[mu_,B_]:=If[mu>mumax,NIntegrate[neutraln2totalp[mup] n0f3[mup],{mup,mumax,mu}]-B,-B]
neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+mu neutraln2totalp[mu]*n0f3[mu]

FindRoot[neutralp2total[mumax,b],{b,0.001}]
Bcrit=b/.FindRoot[neutralp2total[0.31,b],{b,0.001}]

Bcrit^(1/4)

Show[ListPlot[Neutraln2totalf2,PlotRange-> All],Plot[
neutraln2totalp[x],{x,0.1,0.6},PlotRange-> All],PlotRange-> {0,1}]

Show[Plot[
{neutralp2total[x,0]/p0[x],neutralp2total[x,Bcrit]/p0[x]},{x,0.1,1}]]

Bag model fit:

Clear[B0fit]

Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax, 1.8, 0.01}];
B0fit[x_]:=Evaluate[Fit[%, {1, x}, x]]
Show[ListPlot[%%, PlotJoined -> True], Plot[B0fit[x], {x, 0, 0.06}, PlotStyle -> RGBColor[1, 0, 0] ],PlotRange->{ {0,0.001},{0,0.005}}]

B0fit[x]

(0.002126/4)^(1/4)

Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu, mumax, 1.8, 0.01}];
Bcritfit[x_]:=Evaluate[Fit[%, {1, x}, x]]
Show[ListPlot[%%, PlotJoined -> True], Plot[Bcritfit[x], {x, 0, 0.06}, PlotStyle -> RGBColor[1, 0, 0] ],PlotRange->{ {0,0.001},{0,0.005}} ]

(.0024578/4)^(1/4)

Strange stars

B = 0

strange = Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax+0.00001, .5, 0.001}];
fitEoS=Table[{P,B0fit[P]},{P,0,0.01,10^(-6)}];
Show[ListPlot[strange, PlotJoined -> True],ListPlot[fitEoS, PlotStyle -> RGBColor[1, 0, 0] ,PlotJoined-> True], PlotRange -> {{0, 0.01}, {0, 0.1}}]
QsB0=Table[newNUQSPress[strange,n],{n,2,225,2}];
Qsfit=Table[newNUQSPress[fitEoS,n],{n,2,4000,20}];
ListPlot[{QsB0,Qsfit},PlotRange-> All]

B = Bcrit

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu, 0.31, .55, 0.0001}];
fitEoS=Table[{P,Bcritfit[P]},{P,0,0.01,10^(-6)}];
Show[ListPlot[strange, PlotJoined -> True],ListPlot[fitEoS, PlotStyle -> RGBColor[1, 0, 0] ,PlotJoined-> True], PlotRange -> {{0, 0.01}, {0, 0.1}}]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,2400,20}];
Qsfit=Table[newNUQSPress[fitEoS,n],{n,2,3900,20}];
ListPlot[{QsBcrit,Qsfit},PlotRange-> All]

Tabulated data :

Neutraln2totalf2

QsB0

QsBcrit

Export["QSNf2B0",QsB0,"List"]
Export["QSNf2Bcrit",QsBcrit,"List"]

EoS for most favorable case 3 Massless Flavors (Lmsbar = 0.346, m = 0.07, L = 4.0 mu) Without CSC

mumax=0.275740443
Neutraln2totalf3= Table[{mu, n2f3[mu, 4.0]/n0f3[mu]}, {mu, mumax, 1.8, 0.001}];

neutraln2totalIf3:=Interpolation[Neutraln2totalf3]

neutraln2totalp[x_]:=If[x<mumax,0,neutraln2totalIf3[x]]
neutralp2total[mu_,B_]:=If[mu>mumax,NIntegrate[neutraln2totalp[mup] n0f3[mup],{mup,mumax,mu}]-B,-B]
neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+mu neutraln2totalp[mu]*n0f3[mu]

FindRoot[neutralp2total[mumax,b],{b,0.001}]
Bcrit=b/.FindRoot[neutralp2total[0.31,b],{b,0.001}]

Bcrit^(1/4)

Show[ListPlot[Neutraln2totalf3,PlotRange-> All],Plot[
neutraln2totalp[x],{x,0.1,0.6},PlotRange-> All],PlotRange-> {0,1}]

Show[Plot[
{neutralp2total[x,0]/p0[x],neutralp2total[x,Bcrit]/p0[x]},{x,0.1,1}]]

Bag model fit:

Clear[B0fit]

Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax, 0.6, 0.001}];
B0fit[x_]:=Evaluate[Fit[%, {1, x}, x]]
Show[ListPlot[%%, PlotJoined -> True], Plot[B0fit[x], {x, 0, 0.06}, PlotStyle -> RGBColor[1, 0, 0] ]]

B0fit[x]

(0.002126/4)^(1/4)

Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu, mumax, 0.6, 0.01}];
Bcritfit[x_]:=Evaluate[Fit[%, {1, x}, x]]
Show[ListPlot[%%, PlotJoined -> True], Plot[Bcritfit[x], {x, 0, 0.06}, PlotStyle -> RGBColor[1, 0, 0] ],PlotRange->{ {0,0.001},{0,0.005}}]

(.0024578/4)^(1/4)

Strange stars

B = 0

strange = Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax+0.0000, .5, 0.001}];
fitEoS=Table[{P,B0fit[P]},{P,0,0.01,10^(-6)}];
Show[ListPlot[strange, PlotJoined -> True],ListPlot[fitEoS, PlotStyle -> RGBColor[1, 0, 0] ,PlotJoined-> True], PlotRange -> {{0, 0.01}, {0, 0.1}}]
QsB0=Table[newNUQSPress[strange,n],{n,2,225,2}];
Qsfit=Table[newNUQSPress[fitEoS,n],{n,2,4000,20}];
ListPlot[{QsB0,Qsfit},PlotRange-> All]

B = Bcrit

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu, 0.31, .55, 0.0001}];
fitEoS=Table[{P,Bcritfit[P]},{P,0,0.01,10^(-6)}];
Show[ListPlot[strange, PlotJoined -> True],ListPlot[fitEoS, PlotStyle -> RGBColor[1, 0, 0] ,PlotJoined-> True], PlotRange -> {{0, 0.01}, {0, 0.1}}]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,2250,50}];
Qsfit=Table[newNUQSPress[fitEoS,n],{n,2,3900,20}];
ListPlot[{QsBcrit,Qsfit},PlotRange-> All]

Tabulated data :

Neutraln2totalf3

QsB0

QsBcrit

Export["QSNf3B0",QsB0,"List"]
Export["QSNf3Bcrit",QsBcrit,"List"]

EoS for most favorable case (Lmsbar = 0.346, m = 0.07, L = 4 mu) Without CSC

Δ
LambdaMSbar
ms0

neutraln2total[.5,2]

neutralsn2total[.27491, 4]
mumax=.27491

Ntable=NtableX;

//NtableX4=Table[ n2total[mu, 4.0], {mu, .27491, 1.0, 0.005}];

Ntable=NtableX4;

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]]+Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}];
Neutraln2quark=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2totalI:=Interpolation[Neutraln2total]
neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Energy per baryon criterion:

NSolve[3*neutrale2total[MuS[0.31],b]/(neutraln2quark[MuS[0.31]]*n0f3[MuS[0.31]])==3*0.31,b]
b^(1/4)/.%[[1]]

MuS[0.31]

Preferred phase (p > 0) criterion:

FindRoot[neutralp2total[mumax,b],{b,0.001}]
Bcrit=b/.FindRoot[neutralp2total[MuS[0.31],b],{b,0.001}]
neutrale2total[MuS[.31],Bcrit]/neutraln2quark[MuS[.31]]
Bcrit^(1/4)

Show[ListPlot[Neutraln2total,PlotRange-> All],Plot[
neutraln2totalI[x],{x,0.2,0.6},PlotRange-> All],PlotRange-> {0,1}]

Show[Plot[
{neutralp2total[x,0.0]/p0[x],neutralp2total[x,Bcrit]/p0[x]},{x,0.1,1}]]

Strange stars

B = 0

strange = Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax+0.00001, .6, 0.001}];
Fit[strange,{1,x},x]
ListPlot[strange, PlotJoined -> True]
QsB0=Table[newNUQSPress[strange,n],{n,2,320,2}];
ListPlot[{QsB0},PlotRange-> All]

B = Bcrit

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu,.31, .6, 0.001}];
ListPlot[strange, PlotJoined -> True]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,290,2}];
ListPlot[{QsBcrit},PlotRange-> All]

Tabulated data :

Ntable

QsB0

QsBcrit

Export["QSNf21B0",QsB0,"List"]
Export["QSNf21Bcrit",QsBcrit,"List"]

Export["QSNf21Bcrit",QsBcrit,"List"]

EoS for central values (Lmsbar = 0.378, m = 0.10, L = 4 mu) Without CSC

Δ
LambdaMSbar
ms0

neutraln2total[.5,2]

neutralsn2total[.27491, 4]
mumax=.27491

Ntable=NtableX4;

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]]+Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}];
Neutraln2quark=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2totalI:=Interpolation[Neutraln2total]
neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Bag constant :

Ntable[[4]]

NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,0.23,MuS[0.31]}]
%^(1/4)

NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,0.23,mumax}]
%^(1/4)

Energy per baryon criterion:

NSolve[3*neutrale2total[MuS[0.31],b]/(neutraln2quark[MuS[0.31]]*n0f3[MuS[0.31]])==3*0.31,b]
b^(1/4)/.%[[1]]

MuS[0.31]

Preferred phase (p > 0) criterion:

FindRoot[neutralp2total[mumax,b],{b,0.001}]
Bcrit=b/.FindRoot[neutralp2total[MuS[0.31],b],{b,0.001}]
neutrale2total[MuS[.31],Bcrit]/neutraln2quark[MuS[.31]]
Bcrit^(1/4)

Show[ListPlot[Neutraln2total,PlotRange-> All],Plot[
neutraln2totalI[x],{x,0.2,0.6},PlotRange-> All],PlotRange-> {0,1}]

Show[Plot[
{neutralp2total[x,0.0]/p0[x],neutralp2total[x,Bcrit]/p0[x]},{x,0.1,1}]]

Strange stars

B = 0

strange = Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax+0.00001, .6, 0.001}];
Fit[strange,{1,x},x]
ListPlot[strange, PlotJoined -> True]
QsB0=Table[newNUQSPress[strange,n],{n,2,320,2}];
ListPlot[{QsB0},PlotRange-> All]

B = Bcrit

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu,.31, .6, 0.001}];
ListPlot[strange, PlotJoined -> True]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,290,2}];
ListPlot[{QsBcrit},PlotRange-> All]

Tabulated data :

Ntable

QsB0

QsBcrit

Export["QSNf21B0CV",QsB0,"List"]
Export["QSNf21BcritCV",QsBcrit,"List"]

EoS for most favorable case (Lmsbar = 0.346, m = 0.07, L = 4 mu) With CSC Δ=.1GeV

Δ
LambdaMSbar
ms0

neutraln2total[.5,4]

neutralsn2total[.265098, 4]
mumax=.265098

Ntable=Table[ n2total[mu, 4.0], {mu, mumax, 0.8, 0.0001}];

NtableX4D1FV={};Do[Print[mu];NtableX4D1FV=Append[NtableX4D1FV,n2total[mu, 4.0]],{mu,mumax,0.8,0.001}]

Ntable=NtableX4D1FV;

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]]+Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}];
Neutraln2quark=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2totalI:=Interpolation[Neutraln2total]
neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns[.266]*n0f3[.266]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Energy per baryon criterion:

NSolve[3*neutrale2total[MuS[0.31],b]/(neutraln2quark[MuS[0.31]]*n0f3[MuS[0.31]])==3*0.31,b]
b^(1/4)/.%[[1]]

Preferred phase (p > 0) criterion:

FindRoot[neutralp2total[mumax,b],{b,0.001}]
Bcrit=b/.FindRoot[neutralp2total[MuS[0.31],b],{b,0.001}]
neutrale2total[MuS[.31],Bcrit]/neutraln2quark[MuS[.31]]
Bcrit^(1/4)

Plot[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax+0.001,mumax+0.02}]

Show[ListPlot[Neutraln2total,PlotRange-> All],Plot[
neutraln2totalI[x],{x,0.2,0.6},PlotRange-> All],PlotRange-> {0,1}]

Show[Plot[
{neutralp2total[x,0.0]/p0[x],neutralp2total[x,Bcrit]/p0[x]},{x,0.1,1}]]

Strange stars

B = 0

strange = Table[{neutralp2total[mu, 0], neutrale2total[mu, 00]}, {mu, mumax+0.005, .6, 0.001}];
ListPlot[strange, PlotJoined -> True]
QsB0=Table[newNUQSPress[strange,n],{n,2,320,2}];
ListPlot[{QsB0},PlotRange-> All]

Show[Out[663],Out[656]]

B = Bcrit

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu,.31, .6, 0.001}];
ListPlot[strange, PlotJoined -> True]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,290,2}];
ListPlot[{QsBcrit},PlotRange-> All]

Δ

Tabulated data :

Ntable

QsB0

QsBcrit

Export["QSNf21B0D01FV",QsB0,"List"]
Export["QSNf21BcritD01FV",QsBcrit,"List"]

Matching

EoS for central values (Lmsbar = 0.378, m = 0.10, L = 4 mu) Without CSC

LambdaMSbar=0.378;
ms0=.10;
Δ=0.00;

mumax=0.31

Ntable=NtableX4;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[0.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, Maximal mu:

FindRoot[Interpolation[hyperoneps][MuQ[mu]]==neutrale2total[mu,0],{mu,0.31,0.35}]
muc=mu/.%
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

Interpolation[hyperoneps][mucQ]

neutrale2total[muc,Bmatch]

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.5}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,200,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}]]

Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]];

ListPlot[%]

Export["hybridpX4",Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]],"List"]

Export["hybridStarX4",HybridStar,"List"]

EoS for central values (Lmsbar = 0.378, m = 0.10, L = 3 mu) Without CSC

LambdaMSbar=0.378;
ms0=.10;
Δ=0.00;

mumax=0.31

Ntable=NtableX3;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[0.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, Maximal mu:

muc=0.3305
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

Interpolation[hyperoneps][mucQ]

neutrale2total[muc,Bmatch]

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.5}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,200,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}]]

Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]];

ListPlot[%]

Export["hybridpX3minmu",Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]],"List"]

Hadronic Match,  minimal mu:

FindRoot[Interpolation[hyperoneps][MuQ[mu]]==neutrale2total[mu,0],{mu,0.31,0.35}]
muc=mu/.%
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

Interpolation[hyperoneps][mucQ]

neutrale2total[muc,Bmatch]

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.5}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,200,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}]]

Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]];

ListPlot[%]

Export["hybridpX4",Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]],"List"]

EoS for central values (Lmsbar = 0.378, m = 0.10, L = 4 mu) With Δ=.1GeV

LambdaMSbar=0.378;
ms0=.10;
Δ=0.10;

mumax=0.31

Ntable=NtableX4D1;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[0.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, Maximal mu:

FindRoot[Interpolation[hyperoneps][MuQ[mu]]==neutrale2total[mu,0],{mu,0.31,0.35}]
muc=mu/.%
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

Interpolation[hyperoneps][mucQ]

neutrale2total[muc,Bmatch]

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.37},{0,0.20}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.4},{0,0.9}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,200,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}]]

Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]];

ListPlot[%]

Export["hybridpX4D1",Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]],"List"]

Export["hybridStarX4D1",HybridStar,"List"]

EoS for central values (Lmsbar = 0.378, m = 0.10, L = 3 mu)  With Δ=.1GeV

LambdaMSbar=0.378;
ms0=.10;
Δ=0.10;

mumax=0.31

Ntable=NtableX3D1;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[0.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, Maximal mu:

muc=0.346
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

Interpolation[hyperoneps][mucQ]

neutrale2total[muc,Bmatch]

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.5}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,200,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}]]

Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]];

ListPlot[%]

Export["hybridpX3D1minmu",Join[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],Quiet[Table[{mu,neutralp2total[MuS[mu],Bmatch]/p0[mu]},{mu,0.52,1.9,0.05}]]],"List"]

Interpolating Hybrid star

EoS for favored values (Lmsbar = 0.346, m = 0.07, L = 4 mu) Without CSC

LambdaMSbar=0.346;
ms0=.07;
Δ=0.00;

mumax=0.31

Ntable[[3]]

Ntable=NtableX4;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[1.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, Maximal mu=0.32:

MuQ[0.336164]

muc=0.336164
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.75}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStar=Table[newNUQSPress[hybrid,n],{n,2,250,1}];
ListPlot[HybridStar,PlotRange-> {{0,40},{0,3}}]

Pure Strange

Bcrit=b/.FindRoot[neutralp2total[MuS[0.31],b],{b,0.001}]

strange = Table[{neutralp2total[mu, Bcrit], neutrale2total[mu, Bcrit]}, {mu,.31, .6, 0.001}];
ListPlot[strange, PlotJoined -> True]
QsBcrit=Table[newNUQSPress[strange,n],{n,2,290,2}];
ListPlot[{QsBcrit},PlotRange-> All]

Export["PureStrange",QsBcrit,"List"]

Effect of Δ to the hybrid star

EoS for favored values (Lmsbar = 0.378, m = 0.10, L = 4 mu) Without CSC

LambdaMSbar=0.378;
ms0=.10;
Δ=0.00;

mumax=0.31

Ntable=NtableX4;

Ntable[[4]]

n2total[0.23,4]

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[1.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, mu=0.323

MuQ[0.3384998]

muc=0.3384998
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.75}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStarD0=Table[newNUQSPress[hybrid,n],{n,2,250,1}];
ListPlot[{HybridStarD0,HyperonStar},PlotRange-> {{0,40},{0,3}}]

Export["DeltaeffectD0",HybridStar,"List"]

EoS for favored values (Lmsbar = 0.378, m = 0.10, L = 4 mu) With CSC Δ=0.1

LambdaMSbar=0.378;
ms0=.10;
Δ=0.10;

mumax=0.31

Ntable=NtableX4D1;

Ntable[[4]]

n2total[0.34,4]

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[1.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, mu=0.323

MuQ[0.338399]

muc=0.338399
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.75}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStarD1=Table[newNUQSPress[hybrid,n],{n,2,250,1}];
ListPlot[{HybridStarD1,HyperonStar},PlotRange-> {{0,40},{0,3}}]

Export["DeltaeffectD1",HybridStarD1,"List"]

EoS for favored values (Lmsbar = 0.378, m = 0.10, L = 4 mu) With CSC Δ=0.05

LambdaMSbar=0.378;
ms0=.10;
Δ=0.05;

mumax=0.31

NtableD05=Table[ n2total[mu, 4.0], {mu, 0.31, 0.8, 0.01}];

Ntable=NtableD05

NtableD05[[5]]

n2total[0.35,4]

Tabulated values

NtableD05={{0.31`,0,0.000664286807667548`,0.0013004757258245068`,9.365963170193456`*^-6},{0.32`,0.00001998825368329819`,0.0007870121547051577`,0.0015247260766251664`,9.76999303395002`*^-6},{0.33`,0.0003491924013231295`,0.0010826194783749932`,0.0018006239118885682`,5.140881179403663`*^-6},{0.33999999999999997`,0.0006600069343942231`,0.0013724081206606383`,0.0020754406682842483`,3.1228795476015025`*^-6},{0.35`,0.0009692651146732717`,0.0016668048160145962`,0.0023581707130787936`,2.0579347590410678`*^-6},{0.36`,0.0012842401873593527`,0.0019706340557468084`,0.0026527331263101602`,1.4315992740046067`*^-6},{0.37`,0.0016089883566846562`,0.0022867343489018925`,0.0029613730049587246`,1.0357787200697047`*^-6},{0.38`,0.001946139424285944`,0.0026170347622999635`,0.003285613177831448`,7.723074941704716`*^-7},{0.39`,0.0022975870299916214`,0.0029629844349279453`,0.0036266123180997236`,5.898405881811158`*^-7},{0.4`,0.002664802656164705`,0.00332575305341856`,0.003985325153260685`,4.594324705783598`*^-7},{0.41000000000000003`,0.00304899564310178`,0.0037063351052931356`,0.004362583158382494`,3.6380303400030335`*^-7},{0.42`,0.0034512060786610708`,0.0041056107925600905`,0.004759139046453449`,2.921533352190916`*^-7},{0.43`,0.003872353180725787`,0.0045243791270611075`,0.005175692626907922`,2.3748216283551736`*^-7},{0.44`,0.004313275011557701`,0.0049633837493062265`,0.0056129071749864996`,1.9510401885728491`*^-7},{0.45`,0.004774746968763234`,0.005423326050270909`,0.006071419728976375`,1.61800932758967`*^-7},{0.45999999999999996`,0.005257498873044534`,0.005904876477967702`,0.006551848149398702`,1.353111636224281`*^-7},{0.47`,0.005762227617323113`,0.006408682824560346`,0.007054795993867656`,1.140126431691191`*^-7},{0.48`,0.006289601275852791`,0.0069353736379294505`,0.0075808558326462385`,9.672245324463458`*^-8},{0.49`,0.006840266385933899`,0.00748556292624418`,0.008130611774535449`,8.256400632450116`*^-8},{0.5`,0.007414856129547549`,0.00805985507331668`,0.008704641383231525`,7.087795142115401`*^-8},{0.51`,0.008013986739745134`,0.008658843557214272`,0.009303516885121646`,6.116318725422183`*^-8},{0.52`,0.008638264419714915`,0.009283114922440754`,0.00992780632353721`,5.303387646132418`*^-8},{0.53`,0.009288284548217174`,0.009933248713849055`,0.010578074308975362`,4.6190168523989946`*^-8},{0.54`,0.009964641564317759`,0.010609822783911994`,0.011254882815515033`,4.039599706680625`*^-8},{0.55`,0.010667917287277413`,0.011313407552606007`,0.011958791422683435`,3.5465083449588145`*^-8},{0.56`,0.011398690338130277`,0.012044570984838607`,0.012690357885953327`,3.1248531222893084`*^-8},{0.5700000000000001`,0.01215753456765042`,0.012803877929579611`,0.013450138411644887`,2.7626621595180553`*^-8},{0.5800000000000001`,0.012945021873460468`,0.013591891667714129`,0.014238687955061839`,2.4502302921221476`*^-8},{0.5900000000000001`,0.013761719522422413`,0.01440917264532551`,0.015056560378510294`,2.1796574601469202`*^-8},{0.6`,0.0146081926732234`,0.015256279835643764`,0.015904308664166904`,1.944463530231063`*^-8},{0.61`,0.015485004224186485`,0.01613377072709794`,0.016782485050846865`,1.7393058144261203`*^-8},{0.62`,0.01639271524919101`,0.01704220159978207`,0.017691641157715227`,1.559755759557702`*^-8},{0.63`,0.017331882139523455`,0.017982126123173254`,0.018632328042805228`,1.4021345100584222`*^-8},{0.64`,0.018303069136003616`,0.018954101749442207`,0.019605096462872684`,1.2633342572185256`*^-8},{0.65`,0.019306830408986696`,0.019958680660023594`,0.02061049668796639`,1.1407705087828837`*^-8},{0.66`,0.020343721827298364`,0.02099641576262724`,0.021649078730370353`,1.032253599620254`*^-8},{0.6699999999999999`,0.021414298400407122`,0.022067859418302797`,0.022721392358380083`,9.359280421950198`*^-9},{0.6799999999999999`,0.022519114325795217`,0.02317356348619981`,0.023827987140153724`,8.502157920710835`*^-9},{0.69`,0.023658723210926262`,0.024314079454121573`,0.02496941248424684`,7.737697652867079`*^-9},{0.7`,0.024833678087720773`,0.02548995846138958`,0.02614621767199247`,7.054362835277285`*^-9},{0.71`,0.026044526518208058`,0.02670174883714813`,0.027358951829167966`,6.4423140565234705`*^-9},{0.72`,0.02729183067114884`,0.02795000626586794`,0.02860816418204395`,5.8928547375254565`*^-9},{0.73`,0.028576137665204983`,0.02923527879726667`,0.029894403733298814`,5.398676521649389`*^-9},{0.74`,0.029897998991336758`,0.030558116679559637`,0.031218219507645188`,4.953379109035142`*^-9},{0.75`,0.03125796588572203`,0.031919070026512314`,0.03258016051310406`,4.5513995143678`*^-9},{0.76`,0.032656589388232335`,0.03331868885372222`,0.03398077575554256`,4.187889855516252`*^-9},{0.77`,0.03409442029635691`,0.03475752306096818`,0.035420614249732425`,3.858615676359051`*^-9},{0.78`,0.0355720093208292`,0.036236122516182724`,0.036900225031930946`,3.5598684355929175`*^-9},{0.79`,0.037089907029683705`,0.037755037031580334`,0.03842015716829667`,3.2883934331184108`*^-9},{0.8`,0.03864866389179128`,0.039314816389556057`,0.03998095976333741`,3.0413278124245675`*^-9}}

w

Ntable[[4]]

n2total[0.34,4]

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[1.4]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

Show[ListPlot[Neutraln2total,PlotRange-> All]]

Hadronic Match, mu=0.323

MuQ[0.338399]

muc=0.338399
mucQ=MuQ[muc]
FindRoot[Interpolation[hyperonp][mucQ]==neutralp2total[muc,B],{B,0}]
Bmatch=B/.%

matchedeos={}
Do[mmu=hyperonp[[i,1]];If[mmu>mucQ,matchedeos=Append[matchedeos,{mmu,neutralp2total[MuS[mmu],Bmatch],neutrale2total[MuS[mmu],Bmatch]}],matchedeos=Append[matchedeos,{mmu,hyperonp[[i,2]],hyperoneps[[i,2]]}]],{i,1,Length[hyperoneps]}]

Show[ListPlot[Transpose[{hyperonp[[All,1]],hyperonp[[All,2]]/p0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,2]]/p0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutralp2total[MuS[mu],Bmatch]/p0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.06}}]
Show[ListPlot[Transpose[{hyperoneps[[All,1]],hyperoneps[[All,2]]/eps0[matchedeos[[All,1]]]}]],ListPlot[Transpose[{matchedeos[[All,1]],matchedeos[[All,3]]/eps0[matchedeos[[All,1]]]}],PlotStyle-> RGBColor[1,0,0]],Plot[neutrale2total[MuS[mu],Bmatch]/eps0[mu],{mu,0.31,0.55}],PlotRange-> {{0.31,0.34},{0,0.75}}]

hybrid={};
Do[hybrid=Append[hybrid,{matchedeos[[Length[matchedeos]-i,2]] ,matchedeos[[Length[matchedeos]-i,3]]}],{i,0,Length[matchedeos]-1}]

HybridStarD05=Table[newNUQSPress[hybrid,n],{n,2,250,1}];
ListPlot[{HybridStarD1,HybridStarD0,HybridStarD05,HyperonStar},PlotRange-> {{2,20},{0,2}}]

Export["DeltaeffectD05",HybridStarD05,"List"]

Check Pauls data

neutraln2total[0.4,4]n0f3[0.2]

getmue2[0.4,4]

mumax=0.21

mygetmu=Table[{mu,getmue2[mu,4]},{mu,0.2,1,0.01}];

ListPlot[{Paulgetmu,mygetmu}]

Paulgetmu={{0.2`,-0.018780962281808308`},{0.21000000000000002`,0.0015247265453166845`},{0.22`,0.017414967639413595`},{0.23`,0.028130353599412357`},{0.24000000000000002`,0.03522671216886202`},{0.25`,0.04032259526341915`},{0.26`,0.04433677293837224`},{0.27`,0.047733421452901846`},{0.28`,0.04228050654147096`},{0.29000000000000004`,0.03355845011158058`},{0.30000000000000004`,0.02797345280607076`},{0.31`,0.023996123213624293`},{0.32`,0.020987083019447506`},{0.33`,0.01861787019013048`},{0.34`,0.01669814778263455`},{0.35`,0.015108390853629892`},{0.36`,0.013769063374332875`},{0.37`,0.012624855837336713`},{0.38`,0.01163594505074835`},{0.39`,0.010772836814557589`},{0.4`,0.010013168538564883`},{0.41000000000000003`,0.009339645341103115`},{0.42000000000000004`,0.008738662240882789`},{0.43000000000000005`,0.008199357752165504`},{0.44`,0.0077129476653201344`},{0.45`,0.007272245941589737`},{0.46`,0.0068713136393314675`},{0.47000000000000003`,0.006505197337611516`},{0.48000000000000004`,0.0061697313193891275`},{0.49`,0.0058613859559002`},{0.5`,0.005577150084823995`},{0.51`,0.005314438748991303`},{0.52`,0.005071020094929982`},{0.53`,0.004844956914485026`},{0.54`,0.004634559496682274`},{0.55`,0.004438347301278504`},{0.56`,0.00425501757541479`},{0.5700000000000001`,0.0040834194808262786`},{0.5800000000000001`,0.003922532628873999`},{0.5900000000000001`,0.0037714491670816975`},{0.6000000000000001`,0.0036293587467580777`},{0.6100000000000001`,0.0034955358427878913`},{0.62`,0.0033693290053161493`},{0.63`,0.003250151707104584`},{0.64`,0.0031374745158751693`},{0.65`,0.003030818372407768`},{0.66`,0.0029297487958154242`},{0.67`,0.002833870869763253`},{0.6799999999999999`,0.0027428248892705518`},{0.69`,0.0026562825685443347`},{0.7`,0.002573943727136958`},{0.71`,0.0024955333854081974`},{0.72`,0.00242079921137847`},{0.73`,0.002349509270778316`},{0.74`,0.002281450038000374`},{0.75`,0.002216424634804183`},{0.76`,0.0021542512658367205`},{0.77`,0.002094761826248595`},{0.78`,0.0020378006596760544`},{0.79`,0.0019832234480096065`},{0.8`,0.0019308962169571119`},{0.81`,0.0018806944435802108`},{0.8200000000000001`,0.001832502253852699`},{0.8300000000000001`,0.0017862116998456543`},{0.8400000000000001`,0.0017417221075142594`},{0.8500000000000001`,0.0016989394871888743`},{0.8600000000000001`,0.0016577759998863538`},{0.8700000000000001`,0.0016181494733937688`},{0.8800000000000001`,0.0015799829628199676`},{0.8900000000000001`,0.0015432043509409322`},{0.9000000000000001`,0.0015077459842253002`},{0.9099999999999999`,0.0014735443408930035`},{0.9199999999999999`,0.0014405397277906054`},{0.9299999999999999`,0.001408676003220664`},{0.94`,0.001377900323189393`},{0.95`,0.0013481629088086223`},{0.96`,0.0013194168328398946`},{0.97`,0.0012916178235801022`},{0.98`,0.0012647240844791572`},{0.99`,0.0012386961280495329`},{1.`,0.001213496622772348`}};

Clear[Ntable]

Ntable1=Table[ n2total[mu, 4.0], {mu, 0.2, 1.0, 0.01}]

Ntable2=Table[ n2total[mu, 4.0], {mu, 0.217, 0.223, 0.0001}]

n2total[0.275,4.0]

dmue2tab=Table[{mu,dgetmue2[mu, 4.0,10^(-6)]}, {mu, 0.2, 1.0, 0.01}]

Ntable=Ntable1;

Ntable[[20]]

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]]+Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}];
Neutraln2quark=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2totalI:=Interpolation[Neutraln2total]
neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu:=Interpolation[dmue2tab]
dMuedmuOld[x_]:=Evaluate[D[Mue[x],x]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

neutralp2total[0.2,0]

Plot[neutralp2total[mu,0]/p0[mu],{mu,0.21,1}]

neutralp2total[0.28,0]

neutrale2total[0.28,0.077^4]/eps0[0.28]

P[0.28,0.077]

Ns[0.2700]

Bag constants

Δ
LambdaMSbar
ms0

neutraln2total[.210,4]

neutralsn2total[.27491, 4]
mumax=.27491

NtableX4B=Table[ n2total[mu, 4.0], {mu, 0.21, 0.35, 0.01}];

Ntable=NtableX4B;

Ntable[[5]]

n2total[.25,4]

Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]]+Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}];
Neutraln2quark=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

neutraln2totalI:=Interpolation[Neutraln2total]
neutraln2quark:=Interpolation[Neutraln2quark]
Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,0.215,mumax}]
%^(1/4)

NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,0.215,MuS[0.31]}]
%^(1/4)

The C - coefficient

Ntable=NtableX4;

Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Mue[mu_]:=((3π^2)Ne[mu]*n0f3[mu])^(1/3)
dMuedmu[mu_]:=Evaluate[D[Mue[mu],mu]]
MuQ[mu_]:=mu-1/3 Mue[mu]
MuS[muq_]:=mu/.FindRoot[mu-1/3Mue[mu]==muq,{mu,muq}]

Ns:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,2]])/n0f3[Ntable[[All,1]]]}]]
Nu:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,3]])/n0f3[Ntable[[All,1]]]}]]
Nd:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}]]
Ne:=Interpolation[Transpose[{Ntable[[All,1]],(Ntable[[All,5]])/n0f3[Ntable[[All,1]]]}]]
Neutraln2total=Transpose[{Ntable[[All,1]],(Ntable[[All,2]]+Ntable[[All,3]]+Ntable[[All,4]])/n0f3[Ntable[[All,1]]]}];

Ns[0.320009]

mumax=0.320009

MuQ[0.32]

neutralp2total[mu_,B_]:=If[mu<mumax,-B,NIntegrate[Ns[mup]n0f3[mup]+Nd[mup]n0f3[mup]+(1-dMuedmu[mup])Nu[mup]n0f3[mup]+dMuedmu[mup]Ne[mup]n0f3[mup],{mup,mumax,mu}]-B]

neutrale2total[mu_,B_]:=-neutralp2total[mu,B]+(mu Ns[mu]+mu Nd[mu]+(mu-Mue[mu])Nu[mu]+Mue[mu]Ne[mu])*n0f3[mu]

neutralp2total[mu,0]

Plot[-(neutralp2total[mu,0]-(p0[mu]-3/(4π^2)mu^2 Ialtmsrun2[4 mu] ))/(3mu^4/(4π^2)),{mu,0.30,3}]

Plot[-(4π^2)/(3 mu^4)neutralp2total[mu,0]+1-Ialtmsrun2[4 mu]^2/ mu^2,{mu,0.31,3},PlotRange-> {0,.6}]

- Ialtmsrun2[4 mu]^2/ mu^2+1