1. QMC model with density- and temperature- dependent quark masses Wei-Liang Qian Fudan University

2. Outline Motivation Motivation QHD models QHD models Bag model and QMC Bag model and QMC QMDTD QMDTD QMDTD with mesons QMDTD with mesons Numerical Result Numerical Result Conclusion Conclusion

3. Motivation To study nuclear matter in a model combining quark and meson degree of freedom To study nuclear matter in a model combining quark and meson degree of freedom Dynamic confinement/deconfinement mechanism Dynamic confinement/deconfinement mechanism

4. QHD QHD-I – a reasonable starting point for a study of nuclear matter QHD-I – a reasonable starting point for a study of nuclear matter

5. Nucl-th/9701058

6. QHD ZM (Derivative scalar coupling) ZM (Derivative scalar coupling) Improved ZM (Tensor coupling, isovector meson) Improved ZM (Tensor coupling, isovector meson) QHD – II (Local gauge, Higgs mechanism) QHD – II (Local gauge, Higgs mechanism) FST (Nonlinear Chiral, Broken Scale Invariance, Vector Dominance) FST (Nonlinear Chiral, Broken Scale Invariance, Vector Dominance)

7. Models for Nuclear System QHD models QHD – I,… QHD – II,FST… Baryon and Meson Degree of Freedom Bag and Soliton models

8. Bags and QMC Bag and Soliton models Bag and Soliton models Two Extremes (MIT bag and Skyrme model) Two Extremes (MIT bag and Skyrme model)

9. Bags and QMC Explicitly include meson degree of freedom --- Quark Meson Coupling (QMC) Model Explicitly include meson degree of freedom --- Quark Meson Coupling (QMC) Model Consists of Non-overlapping Nucleon Bags Bounding by self-consistent Exchange of Meson in MFA Consists of Non-overlapping Nucleon Bags Bounding by self-consistent Exchange of Meson in MFA

10. Models for Nuclear System QHD models QHD – I,… QHD – II,FST… Baryon and Meson Degree of Freedom Bag and Soliton models MIT Bag (of quarks) QMC Quark and Meson Degree of Freedom Topological Soliton (no quark)

11. Bags and QMC MIT bag model MIT bag model Nonlinear boundary condition Linear boundary condition

12. Bags and QMC QMC QMC

13. Bags and QMC QMC QMC

14. Bags and QMC QMC QMC

15. Bags and QMC QMC QMC

16. Bags and QMC Nucl-th/9811088 QMC QMC

17. Bags and QMC QMC QMC

18. Bags and QMC Non-topological soliton model (F-L model) Non-topological soliton model (F-L model) Dynamical confinement/deconfinement mechanism Dynamical confinement/deconfinement mechanism

19. PRD 41 (1990) 2288, PRD 46 (1992) 3211

20. Models for Nuclear System QHD models QHD – I,… QHD – II,FST… Bag and Soliton models Non – Topological Soliton QMDTD MIT Bag (of quarks) QMC Topological Soliton

21. QMDTD

22. QMDTD Euro. Phys. Lett 56 (2001) 361

23. QMDTD

24. QMDTD PRC 65 (2002) 035202, PRC 67 (2003) 015202

25. QMDTD

26. QMDTD

27. QMDTD with mesons Explicitly include meson degree of freedom in QMDTD Explicitly include meson degree of freedom in QMDTD

28. Models for Nuclear System QHD models QHD – I,… QHD – II,FST… Bag and Soliton models Non – Topological Soliton QMDTD QMDTD + Mesons MIT Bag (of quarks) QMC Topological Soliton

29. QMDTD with mesons

34. Numerical Result

40. K R0R0R0R0 QMC22.01.14851200N/A-0.02 QMDTD with mesons 14.43.398022290.860.08

41. Conclusion A quark model for nuclear matter based on NTS model A quark model for nuclear matter based on NTS model Reproduce the bulk properties of nuclei Reproduce the bulk properties of nuclei Dynamic deconfinement at Tc Dynamic deconfinement at Tc

42. Thank you!