2006/12/05 by J. P. Vary, Vary, J. P., A. G. Negoita +3
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0612022
17 pages including 14 figures
arxiv created 2006/12/05 · arxiv updated 2009/12/01
We apply an \it ab-initio approach to the nuclear structure of odd-mass nuclei straddling 48Ca. 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 in a no-core approach. Due to model space limitations and the absence of 3-body interactions, we incorporate phenomenological 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 obscures direct comparisons with valence effective NN interactions. Nevertheless, we compare the fp-shell matrix elements of our initial and modified Hamiltonians in the harmonic oscillator basis with a recent model fp-shell interaction, the GXPF1 interaction of Honma, Otsuka, Brown and Mizusaki. Notable differences emerge from these comparisons. In particular, our diagonal two-body T = 0 matrix elements are, on average, about 800-900keV more attractive. Furthermore, while our initial and modified NN Hamiltonian fp-shell matrix elements are strongly correlated, there is much less correlation with the GXPF1 matrix elements.