dorsal/arxiv
View SchemaNo-Core shell model for A = 47 and A = 49
| Authors | J. P. Vary, A. G. Negoita, S. Stoica |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612022 |
| URL | https://arxiv.org/abs/nucl-th/0612022 |
Abstract
We apply an {\it ab-initio} approach to the nuclear structure of odd-mass nuclei straddling $^{48}Ca$. 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 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.
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"abstract": "We apply an {\\it ab-initio} approach to the nuclear structure of odd-mass\nnuclei straddling $^{48}Ca$. Starting with the NN interaction, that fits\ntwo-body scattering and bound state data we evaluate the nuclear properties of\n$A = 47$ and $A = 49$ nuclei in a no-core approach. Due to model space\nlimitations and the absence of 3-body interactions, we incorporate\nphenomenological terms determined by fits to $A = 48$ nuclei in a previous\neffort. Our modified Hamiltonian produces reasonable spectra for these odd mass\nnuclei. In addition to the differences in single-particle basis states, the\nabsence of a single-particle Hamiltonian in our no-core approach obscures\ndirect comparisons with valence effective NN interactions. Nevertheless, we\ncompare the fp-shell matrix elements of our initial and modified Hamiltonians\nin the harmonic oscillator basis with a recent model fp-shell interaction, the\nGXPF1 interaction of Honma, Otsuka, Brown and Mizusaki. Notable differences\nemerge from these comparisons. In particular, our diagonal two-body $T = 0$\nmatrix elements are, on average, about 800-900keV more attractive. Furthermore,\nwhile our initial and modified NN Hamiltonian fp-shell matrix elements are\nstrongly correlated, there is much less correlation with the GXPF1 matrix\nelements.",
"arxiv_id": "nucl-th/0612022",
"authors": [
"J. P. Vary",
"A. G. Negoita",
"S. Stoica"
],
"categories": [
"nucl-th"
],
"title": "No-Core shell model for A = 47 and A = 49",
"url": "https://arxiv.org/abs/nucl-th/0612022"
},
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