A Confirmation on the Disappearance of Magic Number N=28 in Neutron-Rich Nuclei with the Relativistic Mean-Field Theory

  • A theoretical method for testing shell effect is proposed. In the framework of the relativistic mean-field theory with the consideration of the BCS approach, by calculating the fluctuation of the particle-number, we discover that particle number fluctuations are closely related with the nuclear shell structure. As a consequence, the traditional magic number N=28 disappears in the neutron-rich area near the drip-line.
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  • [1] . Werner T R, Sheikh J A, Nazarewicz W et al. Phys. Lett.,1994, B333: 303-3092. Glasmacher T, Brown B A, Chromik M J et al. Phys. Lett.,1997, B395: 163-1683. Sarazin F, Savajols H, Mittig W et al. Phys. Rev. Lett.,2000, 84: 50624. Cottle P D, Kemper K W. Phys. Rev., 2002, C66: 0613015. REN Zhong-Zhou et al. Phys. Lett., 1996, B380: 2416. REN Zhong-Zhou. Phys. Rev., 2002, C65: 0513047. GENG Li-Sheng, Hiroshi Toki, MENG Jie. Prog. Theor.Phys., 2005, 113: 48. ZHONG X H, LI L, ZHANG X B et al. HEP NP, 2003,27(7): 598(in Chinese)(钟显辉,李磊,张小兵等.高能物理与核物理,2003, 27(7):598);(陈鼎汉,邰非,任中洲.高能物理与核物理,2003, 27(8):707)9. LI Jun-Qing, MA Zhong-Yu, CHEN Bao-Qiu et al. Phys.Rev., 2002, 65: 06430510. Gambhir Y K, Ring P, Thimet A. Ann Phys., 1990, 198:132-17911. Ring P, Gambhir Y K, Lalazissis D A. Comp. Phys.Commu., 1997, 105: 7712. Sharma M M, Nagarajian M A, Ring P. Phys. Lett., 1993,B312: 377
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DING Bin-Gang. A Confirmation on the Disappearance of Magic Number N=28 in Neutron-Rich Nuclei with the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2007, 31(7): 647-650.
DING Bin-Gang. A Confirmation on the Disappearance of Magic Number N=28 in Neutron-Rich Nuclei with the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2007, 31(7): 647-650. shu
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Received: 2006-11-01
Revised: 2007-01-26
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A Confirmation on the Disappearance of Magic Number N=28 in Neutron-Rich Nuclei with the Relativistic Mean-Field Theory

    Corresponding author: DING Bin-Gang,
  • College of Science, Huzhou Tearcher's College, Huzhou 313000, China

Abstract: A theoretical method for testing shell effect is proposed. In the framework of the relativistic mean-field theory with the consideration of the BCS approach, by calculating the fluctuation of the particle-number, we discover that particle number fluctuations are closely related with the nuclear shell structure. As a consequence, the traditional magic number N=28 disappears in the neutron-rich area near the drip-line.

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