Odd-Even Staggering of Nuclear Masses and Energy Gap Parameter

  • We systematically analyze the formula of the mass difference between the odd and even nuclei and its connection to the energy gap parameter. By calculating the mass difference of ten isotope chains near Sn and Pb, we find that all the shell structure, the pairing interaction and the nuclear deformation affect the value of Δ(3)n considerably. A modified formula of mass difference is proposed.
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  • [1] . Satula W, Dobaczewski, Nazarewicz. Phys. Rev. Lett.,1998, 81: 3599-36022. REN Zhong-Zhou, XU Gong-Ou. Phys. Lett., 1990, B237:13. REN Zhong-Zhou, XU Gong-Ou. Phys. Rev., 1988, C38:10784. DONG Tie-Kuang, REN Zhong-Zhou. Phys. Rev., 2005,C72: 0643315. Bohr A, Mottelson B R. Nuclear Structure. Vol. 1. Ben-jamin, New York. 1969, 1696. HU Ji-Min, YANG Bo-Jun, ZHENG Chun-Kai. Atomic Nucleus Theory. Beijing: Atomic Energy Press, 1987. 70(in Chinese)(胡济民,杨伯军,邓春开,原子核理论。北京:原子能出版社,1987. 70) 7 Bardeen J, Cooper L N, Schrie er J R. Phys. Rev., 1957,106: 162; 108: 11758. Audi A, Wapstra A H, Thibault C. Nucl. Phys., 2003,A729: 337-6769. ZENG Jin-Yan, SUN Hong-Zhou. Structure Theory of Atomic Nucleus. Shanghai: Science and Technique Publisher of Shanghai, 1987. 67 (in Chinese)(曾谨言,孙洪洲,原子核结构理论。上海:上海科技出版社,1987,67) 10 Moeller P, Nix J R, Myers W D et al. At. Data Nucl. DataTables, 1995, 59: 67-22711. ZENG Jin-Yan, SUN Hong-Zhou. Structure Theory of Atomic Nucleus. Shanghai: Science and Technique Pub-lisher of Shanghai, 1987. 287 (in Chinese)(曾谨言,孙洪洲,原子核结构理论。上海:上海科技出版社,1987,67)
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DING Bin-Gang, ZHANG Da-Li and LU Ding-Hui. Odd-Even Staggering of Nuclear Masses and Energy Gap Parameter[J]. Chinese Physics C, 2007, 31(3): 264-268.
DING Bin-Gang, ZHANG Da-Li and LU Ding-Hui. Odd-Even Staggering of Nuclear Masses and Energy Gap Parameter[J]. Chinese Physics C, 2007, 31(3): 264-268. shu
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Received: 2006-06-23
Revised: 2006-08-10
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Odd-Even Staggering of Nuclear Masses and Energy Gap Parameter

    Corresponding author: DING Bin-Gang,
  • College of Science, Huzhou Tearcher's College, Huzhou 313000, China2 Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China

Abstract: We systematically analyze the formula of the mass difference between the odd and even nuclei and its connection to the energy gap parameter. By calculating the mass difference of ten isotope chains near Sn and Pb, we find that all the shell structure, the pairing interaction and the nuclear deformation affect the value of Δ(3)n considerably. A modified formula of mass difference is proposed.

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