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Nuclear Matter Density Dependence of Nucleon Radius and Mass and Quark Condensates in the GCM of QCD

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. I. Introduction. Nucleonic and mesonic degrees of freedom are essential in describing finite nuclei and nuclear matter

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Nuclear Matter Density Dependence of Nucleon Radius and Mass and Quark Condensates in the GCM of QCD

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  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) ) (Walecka, PR C55, 521 (‘97)) (D-S Eq. PR C55, 1577(’97) ) (IDLM, NP A642, 83(’98) ) (DS Eq. PR C57, 2821(’98) )

  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

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

  8. 3. The Scalar Quark Condensates

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

  10. III. Numerical Results

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

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

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

  14. IV. Remarks

  15. Thanks !!!

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