Quark confinement mechanism and QCD phase transition
1. Conefinement by Density-dependent quark masses (CDDM)
2. Comparison with the bag mechanism3. EoS of quark matter in CDDM4. EoS of nuclear matter in Breuckner theory
4. Some preliminary results
GUCAS & IHEP, Chinese Academy of SciencesNational Natural Science Foundation Committee of China
G.X.Peng 彭光雄 [email protected]
Ref: PRC 77(2008)065807; 72(2005)015204; 62(2000)025801; 61(2000) 015201
More stable: nuclear or quark matter?
Quark confinement mechanism
MIT bag
CDDM
Drawback of bag model (I)
Sound velosity not zero for massless quarks
Drawback of bag model (II): EoS always concave
Confinement by density-dependent quark masses
CDDM
History
1. Fowler, Raha, Weiner suggested
Z. Phys. C 9 (1981) 271
2. Chakrabarty, Raha, Sinha extended it to include strange quarks
Phys. Lett. B 229 (1989) 112Phys. Rev. D 43 (1991) 627; 48 (1993) 1409
Europhys. Lett. 56 (2001) 361; Phys. Rev. C 67 (2003) 015202.
3. Zhang and Su et. al. extended it to include temperature
Main weakpoints of the previous treatment
PRD 51 (1995) 1989, PRD 52 (1995) 1276
1. The quark mass scaling is not derived2. The vacuum limits are incorrect3. There are thermodynamic problems
Confinement by density-dependent quark masses
Quark mass scaling
Quark mass scaling
Z=1/3, T=150—170 MeV
Thermodynamic consistency
Peng et al, PRC 77 (2008) 065807
Schematic comparison (I)
Schematic comparison (II)
EoS of quark matter at finite density and temperature
Transition from nuclear to quark matter (II)
nm qm
Gibbs Conditions 吉布斯条件
Conservations 守衡律
1. Electric charge
2. Baryon number
=0
Nuclear EOS in the Brueckner theory with three-body forces
The pressure
The energy density
Phase diagram at zero temperature
Structure of compact stars
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。
Critical densities for given proton fractions
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。
Isentropic evolution of QGP
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。
Properties of strangelets
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。
Summary
We have provided a new approach toconsider quark confinement. It is appliedto investigating the QCD Phase transition, the evolution of a QGO, the stractureof compact stars, and prperties ofstrangelets, etc.