Nuclear mass formula with shell energies calculated by a new method

Hiroyuki Koura, Masahiro Uno, Takahiro Tachibana, Masami Yamada

Research output: Contribution to journalArticle

65 Citations (Scopus)

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 languageEnglish
Pages (from-to)47-76
Number of pages30
JournalNuclear Physics A
Volume674
Issue number1-2
Publication statusPublished - 2000 Jul 3

Fingerprint

nuclei
energy
deviation
trends

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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

In: Nuclear Physics A, Vol. 674, No. 1-2, 03.07.2000, p. 47-76.

Research output: Contribution to journalArticle

Koura, H, Uno, M, Tachibana, T & Yamada, M 2000, 'Nuclear mass formula with shell energies calculated by a new method', Nuclear Physics A, vol. 674, no. 1-2, pp. 47-76.
Koura, Hiroyuki ; Uno, Masahiro ; Tachibana, Takahiro ; Yamada, Masami. / Nuclear mass formula with shell energies calculated by a new method. In: Nuclear Physics A. 2000 ; Vol. 674, No. 1-2. pp. 47-76.
@article{b8966fb7f0ec444e86ab59274dc8bc59,
title = "Nuclear mass formula with shell energies calculated by a new method",
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.",
keywords = "21.10.Dr, Nuclear mass formula, Nuclear shapes, Nuclear shell energies",
author = "Hiroyuki Koura and Masahiro Uno and Takahiro Tachibana and Masami Yamada",
year = "2000",
month = "7",
day = "3",
language = "English",
volume = "674",
pages = "47--76",
journal = "Nuclear Physics A",
issn = "0375-9474",
publisher = "Elsevier",
number = "1-2",

}

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 -