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Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD. Yu-xin Liu Department of Physics, Peking University. Collaborators: Guo H., Gao D.F., Chang L. Wang B., Song H.C., Chao J.Y. et al., at PKU;
Department of Physics, Peking University
Collaborators: Guo H., Gao D.F., Chang L. Wang B.,
Song H.C., Chao J.Y. et al., at PKU;
Wang F., Zong H.S., et al., at NJU;
Lue X.F. at SCU;
Zhao E.G. at ITP; Chao W.Q. at IHEP.
II. The Framework
III. Numerical Results
Two Puzzles in Current Physics (in T.D. Lee’s words):
Chiral Symmetry and its Spontaneous Breaking
and Chiral Symmetry
Lattice QCD, pQCD (Factorization,
Flux Tube, Center Vertex, ···
NJL model, QMC, QMF,
Truncated DSE, Instanton,
Quark condensates are usually taken as characteristics of
Sum rules, QMC,
Instanton dilute liquid model, …
Different results have been obtained!!
C S B
( QSR, NP A642, 171 (’98) )
(Walecka, PR C55, 521 (‘97))
(D-S Eq. PR C55, 1577(’97) )
(IDLM, NP A642, 83(’98) )
(DS Eq. PR C57, 2821(’98) )
nuclei and strong interaction matter
EMC effect, nuclear structure & reaction
Nucleon swell EMC effect
Bag constant Quark confinement
Bag Models, QMC, QMF
bag constant, bag energy, radius
QCD foundation ??? the GCM appears
1. The Main Point of Global Color Symmetry Model
R.T. Cahill, C.D. Roberts, Phys. Rev. D 32 (1985) 2419
Phys. Rev. C 58 (1998) 1195
Effective degrees of freedom
becomes quark and chiral mesons
Prog. Part. Nucl. Phys. 39 (1997) 117;
Phys. Rev. D49 (1994) 125;
Phys. Rev. C53 (1996) 2410; ······ .
an effective field theory model of QCD
QCD GCM Hadronisation Observables
BM, QMC, QHD
Lattice Hadron Correlation
With the GCM, one can explore
the QCD foundation of bag models,
the chiral symmetry breaking and restoration,
the quark confinement and deconfinment, ••••••••••.
New approach to determine the vacuum configuration of the GCM
B = m in instanton model
Property of pion and sigma meson
Lue, Liu, Zhao, Zong, Phys. Rev. C 58 (1998) 1195
Y. X. Liu, et al,
Nucl. Phys. A 695
A 725 (2003) 127
Y. X. Liu, et al, Nucl. Phys. A 695 (2001) 353; A725 (2003) 127.
Y. X. Liu, et al, Phys. Rev. C68 (2003), 035204.
- relationnucleon properties
Y. X. Liu, et al, Nucl. Phys. A 750 (2005), 324.
Zhao Zhang, Wei-qin Chao, Phys. Lett. B 610 (2005), 235
quark confinement results from the
self-adjustment among/between quarks
quark deconfinement and chiral symmetry
restoration may take place
Zong H. S. et al., Phys. Lett. B 557 (2003) 33
Zong H. S. et al., Phys. Lett. B 576 (2003) 289
Zong H. S. et al., Phys. Rev. D 67 (2003) 074004
Zhang Z., Chao W.Q., Phys. Lett. B 612 (2005) 207
Axial vector vertex
Zong H. S. et al., Phys. Rev. C 66 (2002) 015201
New Approach to Evaluate the Quark Propagator at Finite Chemical Potential
Zong, Chang, Hou, Sun, Liu, Phys. Rev. C 71 (2005) 015205
The density dependence of the bag constant, the
mass and radius of nucleons and the pion mass and
decay constant are studied in an effective field
theory model of QCD，namely the GCM
The scalar local and nonlocal quark condensates
are also investigated.
Calculated result 1: with the increase of the density
before a critical value is reached, the BN and MN
decrease, the M almost maintains constant, the RN,
the f and the condensates increase.
Calculated result 2: at the critical density, the BN and MN vanish gradually, the M , f and the , etc, disappear suddenly, the RN becomes infinite.
Quark deconfinement and the chiral symmetry restoration phase transitions happen at the critical density.
Chiral symmetry restoration process: broken more strongly gradually, at least, at the same scale, then restored suddenly.