1. Nuclear Matter Density Dependence of Nucleon Radius and Mass and Quark Condensates in the GCM of QCD Yu-xin Liu Department of Physics, Peking University

2. I. Introduction Nucleonic and mesonic degrees of freedom are essential in describing finite nuclei and nuclear matter  Effective mass nuclear structure & reaction  Nucleon swell EMC effect  Theoretical Approaches: Bag models, QMC bag energy, bag constant, radius Phenomenologically!

3. Quark condensates:  Identifying the chiral symmetry breaking  QCD Vacuum Configuration  Hadron structure  Theoretical approaches: Composite-operator, Sum rules, QMC, Walecka model, Dirac-Brueckner, S-D Equation, Instanton dilute liquid model, … Different results have been obtained!! Chi. Sym. C S B

4. (Comp.-Op., PRD41,1610(’90) )( QSR, NP A642, 171 (’98) ) ( D-S Eq. PR C55, 1577(’97) ) (DS Eq. PR C57, 2821(’98) ) (IDLM, NP A642, 83(’98) ) (Walecka, PR C55, 521 (‘97))

5. GCM, Global Color Symmetry Model: an effective field theory model of QCD Truncated DSE NJL, ChPT QCD GCM Hadronisation Observables BM, QMC, QHD Lattice Hadron Correlation With the GCM being extended to finite nuclear matter density, we investigate the nuclear matter density dependence of nucleon radius and mass and quark condensates.

6. II. Formalism 1. The Main Point of Global Color Symmetry Model

10. 2. The Density Dependence of Nucleon Radius and Mass in GCM

17. 3. The Scalar Quark Condensates

18. 4. Relation Between the Chemical Potential and the Density

19. III. Numerical Results

20. B(0)=(172 MeV) 4

21. R(0)=0.7 fmm(0)=939 MeV ( Y. X. Liu, et al, Nucl. Phys. A 725 (2003) 127 )

22. Y. X. Liu, et al, Phys. Rev. C68 (2003), no.3.

23. IV. Remarks

24. Thanks !!!