Prelimiary results for the structure of neutron stars

Presentation on theme: "Prelimiary results for the structure of neutron stars"— Presentation transcript:

1 Prelimiary results for the structure of neutron stars
QCD phase transition and structure of compact stars G X Peng Graduate University of Chinese Academy of Sciences Institite of High Energy Physics, CAS The National Natural Science Foundation of China Introduction EOS of quark matter EOS of nuclear matter Prelimiary results for the structure of neutron stars

2 Introduction nm qm Vqm/Vtot
道可道，非常道，名可名，非常名。无名，天地之始；有名，万物之母。故常无，欲以观其妙；常有，欲以观其徼。此两者，同出而异名，同谓之玄；玄之又玄，众妙之门。

3 Gibbs Conditions 吉布斯条件
道可道，非常道，名可名，非常名。无名，天地之始；有名，万物之母。故常无，欲以观其妙；常有，欲以观其徼。此两者，同出而异名，同谓之玄；玄之又玄，众妙之门。

4 Conservation laws 守恒律 1. Baryon number 2. Electric charge
道可道，非常道，名可名，非常名。无名，天地之始；有名，万物之母。故常无，欲以观其妙；常有，欲以观其徼。此两者，同出而异名，同谓之玄；玄之又玄，众妙之门。

5 EOS of quark matter Nonperturbative effects Bag model: the simplest?
NJL model: no confinement? Confinement-by-quark-mass model [G.X.Peng,A.Li, U.Lombardo, PRC77(2008)065807] Self-consistent running coupling model (SCRC)

6 RG dependence of QCD running coupling & quark masses

7 Matching-invariant beta and gamma functions

8 RG dependence of QCD running coupling
G.X.Peng, PLB 634:413

9 Fastest convergent expression for the running coupling
G.X.Peng, PLB 634:413

10 QCD scale Lambda

11 QCD mass scales

12 Comparison of the coupling & quark masses

13 Fastest convergent expression for the running coupling
G.X.Peng, PLB 634 (2006) 413

14 Thermodynamically consistent quark model

15

16

17 Thermodynamically consistent quark model

18 One-flavor case

19 Energy per quark as a function of density
G.X.Peng, EPL 72 (2005) 69

20 Density dependence of bag constant
EPL 72 (2005) 69

21 Velocity of sound in quark matter
EPL 72 (2005) 69

22 Mass-radius relation of quark stars
G.X.Peng, EPL 72:69

23 EOS of nuclear matter 核物质态方程
Hagedorn factor Bruekner-Hatree-Fock Relativistic Mean Field ……

24 Hagedorn Factor

25 Brueckner-Hatree-Fock with three-body forces
W.Zuo et.al. EPJA14(‘02)469, L.G.Cao et.al. PRC (06)

26

27 Phase structure

28 Summary Present model indicates that mixed phases of nuclear and quark matter appears, in the neutron star conditions, at a density a little bit above the nuclear saturation, and transit to pure quark phase at about six times the saturation. Therefore, a quark phase seems favorite in neutron stars. It hinders the appearance of kaon condensation.

29 Two-types of compact stars

30 The end 谢谢 道可道，非常道，名可名，非常名。无名，天地之始；有名，万物之母。故常无，欲以观其妙；常有，欲以观其徼。此两者，同出而异名，同谓之玄；玄之又玄，众妙之门。

31 Beijing electron-positron colider
中国科学院高能物理研究所 Beijing electron-positron colider P.O.Box 918-4, Beijing ,

32 中国科学院高能物理研究所 羊八井国际宇宙线观察站

33 THE END