### Abstract

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

Pages (from-to) | 47-76 |

Number of pages | 30 |

Journal | Nuclear Physics A |

Volume | 674 |

Issue number | 1-2 |

Publication status | Published - 2000 Jul 3 |

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### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*674*(1-2), 47-76.

**Nuclear mass formula with shell energies calculated by a new method.** / Koura, Hiroyuki; Uno, Masahiro; Tachibana, Takahiro; Yamada, Masami.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 674, no. 1-2, pp. 47-76.

}

TY - JOUR

T1 - Nuclear mass formula with shell energies calculated by a new method

AU - Koura, Hiroyuki

AU - Uno, Masahiro

AU - Tachibana, Takahiro

AU - Yamada, Masami

PY - 2000/7/3

Y1 - 2000/7/3

N2 - 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.

AB - 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.

KW - 21.10.Dr

KW - Nuclear mass formula

KW - Nuclear shapes

KW - Nuclear shell energies

UR - http://www.scopus.com/inward/record.url?scp=0002994306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002994306&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0002994306

VL - 674

SP - 47

EP - 76

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-2

ER -