No-Core Shell Model for A = 47 and A = 49

Journal Article · Mon Nov 13 04:00:00 EST 2006 · Journal of Physics. G, Nuclear and Particle Physics

OSTI ID:1046113

Vary, J P; Negoita, A G; Stoica, S

We apply the no-core shell model to the nuclear structure of odd-mass nuclei straddling {sup 48}Ca. Starting with the NN interaction, that fits two-body scattering and bound state data, we evaluate the nuclear properties of A = 47 and A = 49 nuclei while preserving all the underlying symmetries. Due to model space limitations and the absence of three-body interactions, we incorporate phenomenological interaction terms determined by fits to A = 48 nuclei in a previous effort. Our modified Hamiltonian produces reasonable spectra for these odd-mass nuclei. In addition to the differences in single-particle basis states, the absence of a single-particle Hamiltonian in our no-core approach complicates comparisons with valence effective NN interactions. We focus on purely off-diagonal two-body matrix elements since they are not affected by ambiguities in the different roles for one-body potentials and we compare selected sets of fp-shell matrix elements of our initial and modified Hamiltonians in the harmonic oscillator basis with those of a recent model fp-shell interaction, the GXPF1 interaction of Honma et al. While some significant differences emerge from these comparisons, there is an overall reasonably good correlation between our off-diagonal matrix elements and those of GXPF1.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 1046113
• Report Number(s): UCRL-JRNL-226480
• Journal Information: Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Journal Issue: 5 Vol. 37; ISSN 0954-3899; ISSN JPGPED
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
CORRELATIONS
DATA
HAMILTONIANS
HARMONIC OSCILLATORS
INTERACTIONS
MATRIX ELEMENTS
NUCLEAR PROPERTIES
NUCLEAR STRUCTURE
NUCLEI
POTENTIALS
SCATTERING
SHELL MODELS
SPACE
SPECTRA
VALENCE