Nuclear mass formula with shell energies calculated by a new method

Hiroyuki Koura*, Masahiro Uno, Takahiro Tachibana, Masami Yamada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


A nuclear mass formula is constructed which is composed of two parts, one describing the general trend of the masses as a function of Z and N and the other representing deviations of individual masses from this general trend. These deviations are referred to as shell energies in a broad sense. The shell energies of spherical nuclei are calculated with use of a spherical single-particle potential. The shell energies of deformed nuclei consist of intrinsic shell energies and average deformation energies. The intrinsic shell energy of a deformed nucleus is calculated from the shell energies of appropriate spherical nuclei by treating the deformed nucleus as a superposition of spherical nuclei. The obtained mass formula is applicable to any nucleus with Z≥2 and N≥2 . The root-mean-square deviation from experimentally known masses is 0.68 MeV.

Original languageEnglish
Pages (from-to)47-76
Number of pages30
JournalNuclear Physics A
Issue number1-2
Publication statusPublished - 2000 Jul 3


  • 21.10.Dr
  • Nuclear mass formula
  • Nuclear shapes
  • Nuclear shell energies

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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