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A status review on symmetry energy and nuclear structure

A status review on symmetry energy and nuclear structure. 蒋维洲 南京东南大学物理系 Collaborators ： Bao-An Li ， Lie-Wen Chen ， Y. L. Zhao, et. al. Introduction Ground-state properties: s.p. energies, neutron skin, shape coexistence Excitations: Giant Resonances, Pigmy resonances, Superdeformation

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A status review on symmetry energy and nuclear structure

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  1. A status review on symmetry energy and nuclear structure 蒋维洲 南京东南大学物理系 Collaborators：Bao-An Li，Lie-Wen Chen，Y. L. Zhao, et. al. Mini-workshop @ 西安交大

  2. Introduction • Ground-state properties: s.p. energies, neutron skin, shape coexistence • Excitations: Giant Resonances, Pigmy resonances, Superdeformation • Tensor force: np interactions & exchange terms & symmetry energy • Neutron star crust: transition density & non-Newtonian gravity & pastas & symmetry energy • Neutron star core: hyperons, quarks, meson condensates & Modeling • New forms of symmetry energy: higher order, I(I+1) • Summary Mini-workshop @ 西安交大

  3. I. (No) Introduction L.W.Chen,et.al., PRC72, 064309 (05) Mini-workshop @ 西安交大

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  5. II. Ground state properties Approaches: RMF, SHF, Macroscopic+Microscopic model +Shell correction, Shell model,… +BCS/Bogoliubov, Lattice effective field theory calculations for A = 3,4,6,12 nuclei, PRL104:142501. • Neutron skin thickness in 208Pb Chen, et.al. Mini-workshop @ 西安交大

  6. Away from linearity in superheavy and light nuclei Z=120, N=172,184,198 Mini-workshop @ 西安交大

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  8. Model Lagrangian: with Further the best fit: FSUGold, PRL95, 122501 (2005); Other works: DDME1, Niksic, Vretenar, et.al., PRC 66, 024306 (2002); DDME2: Lalazissis, et.al. PRC71, 024312 (2005); Rho tensor coupling included: Jiang, Zhao, PLB617,33 (2005). Mini-workshop @ 西安交大

  9. S.p. energies 1p RMF (Z=120, N=172) PRC 81, 044306 (2010). Mini-workshop @ 西安交大

  10. Level inversion & Symmetry energy Mini-workshop @ 西安交大

  11. Shape coexistence: A=190 Pb spherical / Hg oblate Mini-workshop @ 西安交大

  12. III. Excitations: Giant Resonances, Pigmy resonances, Superdeformation • SHF+RPA • RMF+BCS+RPA • RMF+RPA+Resonances +BCS • RMF+RPA+Resonances +Bogoliubov • TDRMF • TDSHF • Vlasov Mini-workshop @ 西安交大

  13. Giant: Vretenar, et.al. PRC 68, 024310 (2003). • Pigmy: Paar, et.al., PRL94,182501(2005). • Giant: Piekarewicz, PRC69, 041301(R) (2006). • Pigmy: Liang, PRC 75, 054320 (2007). • Pigmy: Piekarewicz, arXiv:1012.1803: 68Ni Mini-workshop @ 西安交大

  14. De-excitation from superdeformation Jiang, et.al. EPJA 44, 465 (2010); Commun.Theor.Phys.54,715 (2010). Mini-workshop @ 西安交大

  15. IV. Tensor force: np interactions & exchange terms&symmetry energy • Dirac equation • np interaction • Tensor force Mini-workshop @ 西安交大

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  20. Revisit the tensor force • Mainly from exchange terms. • Pion & rho: the most important ingredients of the chiral perturbative theory. • Rho meson becomes important in the tensor force due to the in-medium mass dropping associated with the partial restoration of the chiral symmetry. • Vacuum effect on the symmetry energy: vacuum condensate • Applications in superheavy nuclei, nuclei near drip lines, high-spin states… Mini-workshop @ 西安交大

  21. V. Neutron star crust: transition density & non-Newtonian gravity & pastas & symmetry energy Negele & Vautherin, NPA 207, 298 (73) Shen,et.al.,NPA637, 435 (98). Than, Khan, Giai,. arXiv:1006.2916 [nucl-th] Horowitz,et.al, PRC69:045804,2004 Newton, et.al.PRC79:055801,2009 Watanabe,et.al,PRL94:031101,2005 Mini-workshop @ 西安交大

  22. Transition density • Horowitz, Piekarenwicz, PRL86,5647(01): RRPA, namely small amplitude perturbation using the Dyson’s equation • Xu, et.al., PRC79:035802,(09); APJ697:1549,(09) ; PRC81, 055805 (10): Dynamical and the thermodynamical methods. Mini-workshop @ 西安交大

  23. More concern: Non-Newtonian Gravity on transition density Strong Gravity at surface Wen,Li,Chen: PRL 103, 211102 (2009) Mini-workshop @ 西安交大

  24. Neutron star core: hyperons, quarks, meson condensates? • Kaon condensate: • Miransky & Shovkovy, PRL88:111601,2002. • Glendenning & Bielich, PRC60:025803,1999. • Zhang, Luo, Li, PRD68:054015,2003. • W. Zuo, A. Li, Z.H. Li, U. Lombardo, PRC70:055802,2004. • A. Odrzywolek, M. Kutschera, Acta Phys.Polon.B40:195,2009. • Li, Zhou, Burgio, & Schulze, PRC81, 025806 (2010) • Guo-hua Wang, Wei-jie Fu, et.al., PRC78: 025801(2008) • Guo-yun Shao, Yu-Xin Liu, PLB682:171(2009). Phenomenological / Chiral model? Self-consistency Effect of Symmetry energy Mini-workshop @ 西安交大

  25. Hyperons Glendening, Phys.Rept. 342, 393 (2001); Schaffner-Bielich, et.al., PRL89, 171101(2002). Jiang, PLB642, 28 (2006). Xu, Chen, Ko, Li, PRC81, 055803 (2010). Mini-workshop @ 西安交大

  26. Symmetry energy and Lambda hyperons fY=ρY /ρB Jiang, Nucl-th/0609024, PLB 642, 28(06) Mini-workshop @ 西安交大

  27. Density dependence from chirality Constraining with the chiral symmetry in RMF models • Properties of nucleons and mesons in medium should be constrained by the chiral symmetry and its breaking. • Symmetry energy is dominated by the isovector mesons. • A good candidate is the Walecka model with Brown-Rho scaling: Simple but with chiral limit Brown,Rho, PRL66, 2720(91) Mini-workshop @ 西安交大

  28. P.Danielewicz, R.Lacey,W.G.Lynch, Science 298(2002)1592 Pressure of well constructed models Collective flow data from high energy heavy-ion reactions Mini-workshop @ 西安交大

  29. Hyperons in nuclear medium with BR scaling • Questions: (1)How do the Y-N and Y-Y interactions depend on the density? (2) How to justify the assumption that the density-dependence of YN interaction is similar to NN interaction? Nonlinearity, interior degrees of freedom Mini-workshop @ 西安交大

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  31. Universal case Mini-workshop @ 西安交大

  32. SU2 case Mini-workshop @ 西安交大

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  34. Quarks in dense matter and hybrid stars R.X. Xu, ApJ,596 L59 (2003). M. Alford,et.al., Astrophys. J.629, 969 (2005). W.-j.Fu, Wei, Liu, PRL101:181102(2008). G.X.Peng, A. Li, Lombardo, PRC 77, 065807 (2008) F. Yang, H. Shen, PRC77:025801 (2008). Xu, Chen, Ko, Li, PRC81, 055803 (2010). A.Li, R.X.Xu, J.F.Lu, MNRAS 402, 2715 (2010). H. Li, X.L.Luo, H.S. Zong, Phys.Rev.D82,065017(2010). SD equation, ChPT, NLJ, CS, BR scaling, QMC, Quark cluster & mass scaling, Hadron-Bag model, Bag+pQCD correction… Meson condensate, chiral condensate, di-quark condensate, CFL, QSC…Beyond standard model? Symmetry energy vanishes in new phases? Mini-workshop @ 西安交大

  35. VII. New forms of symmetry energy: higher order, I(I+1) • High orders beyond parabolic approximation Isospin Physics in Heavy-Ion Collisions at Intermediate Energies, Eds. Bao-An Li and W. Udo Schroder (Nova Science Publishers, Inc, New York, 2001). Myers & Swiatechi, Ann. Phys. 55, 395(1969); ibid.84, 186 (1974). Danielewicz, NPA727, 233 (2003). Xu, et.al., PRC79:035802,(09); APJ697:1549,(09) ; PRC81, 055805 (10):Importance of high orders on the transition density of the crust Chen, et.al. High-order effects on the incompressibility of isospin asymmetric nuclear matter,PRC80: 014322, 2009. Mini-workshop @ 西安交大

  36. Why not I(I+1)? RMF study on finite nuclei suggests E ~T(T+1), Ban, et.al. Phys.Lett.B633:231-236,2006. In nuclear matter, the parabolic approximation suggests E~T*T Mini-workshop @ 西安交大

  37. No quantum effect • Radiation correction requires the quantization of Coulomb field • In strong fields, the renormalization required • Calculations of the RRPA with the ring energy is still in progress. From vacuum polarization of mesons (Chin, AP108, 301 (1977).) Mini-workshop @ 西安交大

  38. Discussion: • With phase transition to quarks and hyperons, what happens to the symmetry energy? • Tensor force should be constrained by chiral symmetry, or ChPT? Quantum effects & symmetry energy? Mini-workshop @ 西安交大

  39. No Summary: • Ground-state properties: s.p. energies, neutron skin, shape coexistence • Excitations: Giant Resonances, Pigmy resonances, Superdeformation • Tensor force: np interactions & exchange terms & symmetry energy • Neutron star crust: transition density & non-Newtonian gravity & pastas & symmetry energy • Neutron star core: hyperons, quarks, meson condensates & Modeling • New forms of symmetry energy: higher order, I(I+1) Mini-workshop @ 西安交大

  40. Thanks! Welcome to Nanjing Mini-workshop @ 西安交大

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