EoS of quark matter and structure of compact stars

G. X. PengUniversity of Chinese Academy of Sciences

Institute of High Energy Physics (UCAS/IHEP)

Quarks and compact stars ， 2014.10.20-22

Sunset view of UCAS

Nearby-APEC2014

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

1 、 Introduction2 、 EoS of quark matter

3 、 M-R of compact stars4 、 Summary

EoS of quark matter and structure of compact stars

G.X. Peng @ UCAS/IHEP

Ref.: [1] Xia & Peng et al. Phys. Rev. D 89 (2014) 105027.[2] J.F.Xu, Peng et al. Sci. Chin. Phys. Mech. Astron. 2014.[3] G.X. Peng et al. Phys. Rev. C 77 (2008) 065807.

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Quarks and compact stars

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Modern physics and QCD

Quarks and compact stars ， 2014.10.20-22

Asymptotic FreedomQuark ConfinementChiral symmetry

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Effective masses in physics

RMF:

NJL:

NMB:

Walecka 1995

NPA513:667

QMD:IJMPE06:515

……

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Free-particle system

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

The equivalent mass m(n) - density dependent

Z. Phys. C 9:271

PLB229:112

EPL56 (2001) 361; PRC67:015202

PRC61:015201 62: 025801

PRC72: 015204

Quarks and compact stuars ， 2014.10.20-22

ApJ 780: 135

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Scaling with both confinement & perturbative interaction

Ref: Xia, Peng, et al, PRD89 (Oct. 2014) 100527

Quarks and compact stuars ， 2014.10.20-22

“The structure of compact stars with a new quark mass scaling”

---Xia C J, 22 Oct. 2014 @quarks and compact stars

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Confinement by the density dependence

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Thermodynamics with equivalent masses

ZPC9(1981)271; PLB229(1989)112

PRD51(1995)1989; 52:1276

PRC62(2000)025801; 72(2005)01520477(2008)065807; PRD89(2014)105027

PRC62(2000)15204

PRC77(2008) 055204

3

5

1

4

2

Quarks and compact stars ， 2014.10.20-22

Inconsistency in the previous

PRD 51(‘95)1989

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Necessary condition for thermodynamic consistency

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Necessary condition for thermodynamic consistency

Path-independency

Pressure ballence

Specially ， the pressure must be zero at the (free-)energy minimum

Quarks and compact stars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Numerical check

Quarks and compact stuars ， 2014.10.20-22

gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn

Numerical check

Quarks and compact stuars ， 2014.10.20-22

M-R relation in the equiv-particle model

Quarks and compact stuars ， 2014.10.20-22

宇宙的不同层次Perturbatiion model with running coupling, mass, and confnement

Thermodynamic potential at leading orderin the modified minimum-subtraction scheme

Running coupling and running quark mass

Perturbation thermo. potential and density

Thermo. exptrapolation by an additional term

Determine the additional term by thermodynamic consistency

At the first-order level

At the first-order level

Determine the RG scale

For 2-flavors:

Range of the parameters

M-R of compact stars

Summary

We study the M-R relation of compactstars considering both perturbation confinement interactions. For parameters With which SQM is absolutely stable, the maximum mass of quark stars can be about two time the solar mass.

A poem to the conference

There are compact body in the remote sky.They are fascinlating and so high …Oh, one doesn’t know what they really are,but we can measure the M and R to explore a neutron or quark star.That’s why we are happily here, discussing models and observational data

G.X.Peng, 21 Oct. 2014

Congradulations on Quarks & Conpact Stars