Semi-empirical effective interactions for the 1 s-0 d shell

Journal Article · Tue Mar 01 04:00:00 EST 1988 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(88)90013-9· OSTI ID:5185298

Brown, B A; Richter, W A; Julies, R E; Wildenthal, B H

Ground-state binding energies and excited-state energies of nuclei in the 1 s--0 d shell are analyzed in terms of a variety of two-body interactions. In addition to simple interactions such as the delta and surface-delta, we consider potentials of the finite-range, one-boson-exchange type for the central, tensor, and spin--orbit components of the interaction, with multipole terms added to the central part. The relative importance of these components, together with that of the antisymmetric spin--orbit component, is considered. The antisymmetric spin--orbit component is found to be the least important. Both density-dependent and density-independent interactions are considered. Our results favor a density-dependent form for the central and spin--orbit components. We develop a semi-empirical ''best-fit'' interaction based on a 14-parameter density-dependent two-body potential which reproduces 447 sd-shell binding-energy data to within an rms deviation between experiment and theory of 260 keV. This semi-empirical interaction is compared to typical G-matrix interactions as well as to the purely empirical interactions obtained by using two-body matrix elements for Talmi integrals as parameters of the fit. copyright 1988 Academic Press, Inc.

• Research Organization: National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824
• OSTI ID: 5185298
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 182:2; ISSN APNYA
• 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
BINDING ENERGY
BOSON-EXCHANGE MODELS
CENTRAL POTENTIAL
COUPLING
D STATES
ENERGY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITED STATES
FINITE-RANGE INTERACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
INTERMEDIATE COUPLING
L-S COUPLING
MATHEMATICAL MODELS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERIPHERAL MODELS
POTENTIALS
S STATES
SHELL MODELS
TENSOR FORCES