Empirical mass formula with proton-neutron interaction

Takahiro Tachibana*, Masahiro Uno, Masami Yamada, So Yamada


研究成果: Review article査読

76 被引用数 (Scopus)


An atomic mass formula consisting of a gross part, an average even-odd part, and an empirical shell part is presented. The gross part is, apart from a small atomic term, taken to be the sum of nucleon rest masses, Coulomb energies, and a polynomial in A 1 3 and |N - Z| A. The Coulomb term includes several parameters, which are determined mainly from comparison with the Coulomb displacement energies. The shell part includes, in addition to proton and neutron shell terms, a proton-neutron interaction term which represents the mutual support of nuclear magicities and the cooperative deformation effect. The average even-odd part, also including several parameters, is constructed so as to represent smoothed even-odd energies. Six coefficients in the polynomial in the gross part are fixed somewhat arbitrarily in order to avoid their drift to unreasonable values in the optimization procedure, while the remaining six coefficients, treated as adjustable parameters, and 269 shell parameters are determined from simultaneous considerations of fit to experimental data, charge symmetry, and reasonableness of the behavior of the shell parameters as functions of Z and N. The root-mean-square deviation of the calculated masses from the 1986 Wapstra et al. masses is 538 keV.

ジャーナルAtomic Data and Nuclear Data Tables
出版ステータスPublished - 1988 7月

ASJC Scopus subject areas

  • 原子分子物理学および光学
  • 核物理学および高エネルギー物理学


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