### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 251-258 |

Number of pages | 8 |

Journal | Atomic Data and Nuclear Data Tables |

Volume | 39 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1988 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Atomic Data and Nuclear Data Tables*,

*39*(2), 251-258. https://doi.org/10.1016/0092-640X(88)90026-5

**Empirical mass formula with proton-neutron interaction.** / Tachibana, Takahiro; Uno, Masahiro; Yamada, Masami; Yamada, So.

Research output: Contribution to journal › Article

*Atomic Data and Nuclear Data Tables*, vol. 39, no. 2, pp. 251-258. https://doi.org/10.1016/0092-640X(88)90026-5

}

TY - JOUR

T1 - Empirical mass formula with proton-neutron interaction

AU - Tachibana, Takahiro

AU - Uno, Masahiro

AU - Yamada, Masami

AU - Yamada, So

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=2742592045&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2742592045&partnerID=8YFLogxK

U2 - 10.1016/0092-640X(88)90026-5

DO - 10.1016/0092-640X(88)90026-5

M3 - Article

VL - 39

SP - 251

EP - 258

JO - Atomic Data and Nuclear Data Tables

JF - Atomic Data and Nuclear Data Tables

SN - 0092-640X

IS - 2

ER -