New Formula for Spontaneous Fission Half-lives of Heavy Nuclei

  • Systematic calculations on spontaneous fission half-lives of heavy nuclei are carried out by Swiatecki's formula with renewed parameters and by its generalized form. A new formula with only four parameters is also proposed for spontaneous fission half-lives.Experimental half-lives are well reproduced by the three formulae. We have found from systematics of available data that there is a long lifetime line of spontaneous fission N=Z+52 for heavy elements with Z≥90. The new formula can be used to predict the spontaneous fission half-lives of heavy nuclei not far away from this long lifetime line.
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  • [1] . Bohr N, Wheeler J A. Phys. Rev. , 1939, 56: 4262. Flerov, Petrjak. Phys. Rev. , 1940, 58: 893. Seaborg G T. Phys. Rev. , 1952, 88: 14294. Swiatecki W J. Phys. Rev. , 1955, 100: 9375. Vandenbosch R, Huizenga J R. Nuclear Fission. New York: Academic Press, 1973. 16. Mller P, Nix J R, Swiatecki W J.Nucl . Phys. , 1989, A492: 3497. Audi G, Wapstra A H. Nucl. Phys. , 2003, A729: 38. Lilley J. Nuclear Physics. Chichest er: Wiley, 2002. 419. Holden N E, Hoffman D C. Pure. Appl. Chem. , 2000, 72: 152510. Viola V E, Seaborg G T. J. Inorg. Nucl. Chem. , 1966, 28: 74111. REN Zhong-Zhou, XU Chang, WANG Zai-Jun. Phys. Rev. , 2004,C70: 03430412. Hofmann S, Münzenberg G.Rev. Mod. Phys. , 2000, 72: 73313. XU Chang, REN Zhong-Zhou. Phys. Rev. , 2004, C69: 024614
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XU Chang, REN Zhong-Zhou and WANG Zai-Jun. New Formula for Spontaneous Fission Half-lives of Heavy Nuclei[J]. Chinese Physics C, 2005, 29(7): 673-676.
XU Chang, REN Zhong-Zhou and WANG Zai-Jun. New Formula for Spontaneous Fission Half-lives of Heavy Nuclei[J]. Chinese Physics C, 2005, 29(7): 673-676. shu
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Received: 2004-11-12
Revised: 1900-01-01
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New Formula for Spontaneous Fission Half-lives of Heavy Nuclei

    Corresponding author: REN Zhong-Zhou,
  • Department of Physics, Nanjing University,Nanjing 210008,China2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy-Ion Accelerator,Lanzhou 730000,China

Abstract: Systematic calculations on spontaneous fission half-lives of heavy nuclei are carried out by Swiatecki's formula with renewed parameters and by its generalized form. A new formula with only four parameters is also proposed for spontaneous fission half-lives.Experimental half-lives are well reproduced by the three formulae. We have found from systematics of available data that there is a long lifetime line of spontaneous fission N=Z+52 for heavy elements with Z≥90. The new formula can be used to predict the spontaneous fission half-lives of heavy nuclei not far away from this long lifetime line.

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