Empirical mass formula with proton-neutron interaction

Journal Article · Fri Jul 01 04:00:00 EDT 1988 · At. Data Nucl. Data Tables; (United States)

DOI:https://doi.org/10.1016/0092-640X(88)90026-5· OSTI ID:6838830

Tachibana, T; Uno, M; Yamada, M; Yamada, S

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/sup 1/3/ and chemically bondN-Zchemically bond/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. copyright 1988 Academic Press, Inc.

• Research Organization: Science and Engineering Research Laboratory, Waseda University, 3-4-1 Okubo, Shinjuki-ku, Tokyo 160, Japan
• OSTI ID: 6838830
• Journal Information: At. Data Nucl. Data Tables; (United States), Journal Name: At. Data Nucl. Data Tables; (United States) Vol. 39:2; ISSN ADNDA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COULOMB ENERGY
ENERGY
HADRON-HADRON INTERACTIONS
INTERACTIONS
MASS
MASS FORMULAE
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PROTON-NEUTRON INTERACTIONS
PROTON-NUCLEON INTERACTIONS