Properties of Sn isotopes in the self-consistent RMF+SLAP for pairing correlations

  • Nuclear properties of stannum isotopes have been studied by the self-consistent shell-model-like approach in the framework Relativistic Mean Field theory, i.e., RMF+SLAP, and compared with the results from the non self-consistent RMF+SLAP* in which the influence of the pairing correlations on the mean field has been neglected. It is shown that the RMF+SLAP method can reproduce correctly the change of the quadrupole deformation as a function of pairing strength, the binding energy, one-and two-neutron separation energies and quadrupole deformation of stannum isotopes. The importance in treating the pairing correlations and block effect correctly has been emphasized.
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  • [1] . Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 12. Reinhard P G. Rep. Prog. Phys., 1989, 52: 4393. Ring P. Prog. Part. Nucl. Phys., 1996, 37: 1934. MENG J. Nucl. Phys., 1998, A635: 35. MENG J, Toki H, ZHOU S G et al. Prog. Part. Nucl. Phys.,2005. in press6. Brockmann R, Machleidt R. Phys. Rev., 1990, C42: 19657. K#246;nig J, Ring P. Phys. Rev. Lett., 1993, 71: 30798. MENG J, Ring P. Phys. Rev. Lett., 1996, 77: 39639. MENG J, Ring P. Phys. Rev. Lett., 1998, 80: 46010. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:51711. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 12912. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 43613. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R62814. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 15415. ZHOU S G, MENG J, Ring P. Phys. Rev. Lett., 2003, 91:26250116. Madokoro H, MENG J, Matsuzaki M et al. Phys. Rev.,2000, C62: 06130117. MA Z Y, Wandelt A, Giai N V et al. Nucl. Phys., 2002,A703: 22218. MENG J, GUO J Y, LIU L et al. Frontiers of Physics,China, 2006, 1: 38, see also nucl-th/040705919. Gambhir Y K, Ring P, Thimet A. Ann. Phys. (N.Y.), 1990,198: 13220. GENG L S, Toki H, Sugimoto S et al. Theor. Phys., 2003,110: 92121. YANG S C, MENG J, ZHOU S G. Chin. Phys. Lett., 2001,18: 19622. CAO L G, MA Z Y. Phys. Rev., 2002, C66: 02431123. Sandulescu N, GENG L S, Toki H et al. Phys. Rev., 2003,C68: 05432324. ZHANG S S, MENG J, ZHOU S G et al. Phys. Rev., 2004,C70: 03430825. ZENG J Y, CHENG T S. Nucl. Phys., 1983, A405: 126. ZENG J Y, LEI Y A, JIN T H et al. Phys. Rev., 1994,C50: 74627. Molique H, Dudek J. Phys. Rev., 1997, C56: 179528. WU C S, ZENG J Y. Phys. Rev., 1989, C39: 66629. WU C S, ZENG J Y. Phys. Rev. Lett., 1991, 66: 102230. ZENG J Y, JIN T H, ZHAO Z J. Phys. Rev., 1994, C50:138831. ZENG J Y, LIU S X, LEI Y A et al. Phys. Rev., 2001,C63: 02430532. ZENG J Y, LIU S X, GONG L X et al. Phys. Rev., 2002,C65: 04430733. LONG W H, MENG J, Giai N V et al. Phys. Rev., 2004,C69: 03431934. ZHOU S G, MENG J, Ring P. Phys. Rev., 2003, C68:03432335. Audi G, Wapstra A H. Nucl. Phys., 1995, A595: 40936. MENG J, Tanihata I. Nucl. Phys., 1999, A650: 176
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LIU Lang, MENG Jie and ZHANG Shuang-Quan. Properties of Sn isotopes in the self-consistent RMF+SLAP for pairing correlations[J]. Chinese Physics C, 2006, 30(4): 299-305.
LIU Lang, MENG Jie and ZHANG Shuang-Quan. Properties of Sn isotopes in the self-consistent RMF+SLAP for pairing correlations[J]. Chinese Physics C, 2006, 30(4): 299-305. shu
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Received: 2005-10-21
Revised: 1900-01-01
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Properties of Sn isotopes in the self-consistent RMF+SLAP for pairing correlations

    Corresponding author: MENG Jie,
  • School of Physics, Peking University, Beijing 100871, China2 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000, China

Abstract: Nuclear properties of stannum isotopes have been studied by the self-consistent shell-model-like approach in the framework Relativistic Mean Field theory, i.e., RMF+SLAP, and compared with the results from the non self-consistent RMF+SLAP* in which the influence of the pairing correlations on the mean field has been neglected. It is shown that the RMF+SLAP method can reproduce correctly the change of the quadrupole deformation as a function of pairing strength, the binding energy, one-and two-neutron separation energies and quadrupole deformation of stannum isotopes. The importance in treating the pairing correlations and block effect correctly has been emphasized.

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