陈融 导师：陈列文教授 合作者：蔡宝军，许昌，李宝安，李小华

1. Single-nucleon potential decomposition of the nuclear symmetry energy 陈融 导师：陈列文教授 合作者：蔡宝军，许昌，李宝安，李小华 Huzhou, 2012-4 Shanghai Jiao Tong University

2. Symmetry energy and its density slope Single-nucleon potential decomposition Discussions Summary

5. Also,single-nucleon potential can be expanded as: C. Xu, B.A. Li, L.W. Chen, and C.M. Ko, Nucl. Phys. A (2011)

6. Yes, we can

7. We consider here non-relativistic situation N.M.Hugenholtz and L.Van.Hove, Physica XXIV 363-376 (1958) HVH theorem Left-hand side Right-hand side

8. Right-hand side: plus them we have: minus them we have

9. Take left-hand side into consideration, that is and

10. and

11. and have:

12. We have:

13. So that

14. So now we write further into:

15. For convenience,we write with

18. 3 non-relativistic phenomenological models (10 sets of parameters) are used here in discussions: MDI (x=-1,0,1) L.W. Chen, C.M. Ko, and B.A. Li, Phys. Rev. Lett (2005) B.A. Li and L.W. Chen, Phys. Rev. C (2005) Skyrme-Hartree-Fock (MSL0,SKM*,SLy4) L.W. Chen, C.M. Ko, B.A. Li, and J. Xu, Phys. Rev. C (2010) J. Bartel et al., Nucl. Phys. A386, 79 (1982) E. Chabanat et al., Nucl. Phys. A635, 231 (1998 Gogny-Hartree-Fock (D1,D1S,D1N,D1M)J. Decharge and D. Gogny, Phys. Rev. C 21, 1568(1980) J.F. Berger, M. Girod, and D. Gogny, Comp. Phys. Comm. 63, 365 (1991) F. Chappert, M. Girod, and S. Hilaire, Phys. Lett. B 668, 420 (2008) S. Goriely, S. Hilaire, M. Girod, and S. Peru, Phys. Rev. Lett. 102, 242501 (2009)

19. Potential energy density: MDI Single-nucleon potential:

20. Skyrme interaction Skyrme-Hartree-Fock Single-nucleon potential:

21. Gogny interaction Gogny-Hartree-Fock Single-nucleon potential: here

22. Discussions

23. Symmetry energy decomposition

24. Density slope decomposition

25. The importance of

26. Density slope correlations

29. Within the framework of HVH theorem, symmetry energy and its density slope can be decomposed into terms of single-nucleon potential. Summary term seems to be responsible for different shapes of symmetry energy term for density slope might not be casually neglected. Magnitude of andare generally comparable, therefore Lane approximation is not sufficient especially when is close to 1. Namely, the contribution of for single nucleon potential should be included. is still poorly known, therefore further constraining is of significance for a more precise description of single nucleon potential, and thus symmetry energy and its density slope .

30. ¡Mucho Gracias!