dorsal/arxiv
View SchemaNo-core shell model for 48-Ca, 48-Sc and 48-Ti
| Authors | J. P. Vary, S. Popescu, S. Stoica, P. Navratil |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607041 |
| URL | https://arxiv.org/abs/nucl-th/0607041 |
| DOI | 10.1088/0954-3899/36/8/085103 |
| Journal | J.Phys.G36:085103,2009 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We report the first no-core shell model results for $^{48}Ca$, $^{48}Sc$ and $^{48}Ti$ with derived and modified two-body Hamiltonians. We use an oscillator basis with a limited $\hbar\Omega$ range around $45/A^{1/3}-25/A^{2/3} = 10.5 MeV$ and a limited model space up to $1\hbar\Omega$. No single-particle energies are used. We find that the charge dependence of the bulk binding energy of eight A=48 nuclei is reasonably described with an effective Hamiltonian derived from the CD-Bonn interaction while there is an overall underbinding by about 0.4 MeV/nucleon. However, the resulting spectra exhibit deficiencies that are anticipated due to: (1) basis space limitations and/or the absence of effective many-body interactions; and, (2) the absence of genuine three-nucleon interactions. We then introduce additive isospin-dependent central terms plus a tensor force to our Hamiltonian and achieve accurate binding energies and reasonable spectra for all three nuclei. The resulting no-core shell model opens a path for applications to the double-beta ($\beta\beta$) decay process.
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"abstract": "We report the first no-core shell model results for $^{48}Ca$, $^{48}Sc$ and\n$^{48}Ti$ with derived and modified two-body Hamiltonians. We use an oscillator\nbasis with a limited $\\hbar\\Omega$ range around $45/A^{1/3}-25/A^{2/3} = 10.5\nMeV$ and a limited model space up to $1\\hbar\\Omega$. No single-particle\nenergies are used. We find that the charge dependence of the bulk binding\nenergy of eight A=48 nuclei is reasonably described with an effective\nHamiltonian derived from the CD-Bonn interaction while there is an overall\nunderbinding by about 0.4 MeV/nucleon. However, the resulting spectra exhibit\ndeficiencies that are anticipated due to: (1) basis space limitations and/or\nthe absence of effective many-body interactions; and, (2) the absence of\ngenuine three-nucleon interactions. We then introduce additive\nisospin-dependent central terms plus a tensor force to our Hamiltonian and\nachieve accurate binding energies and reasonable spectra for all three nuclei.\nThe resulting no-core shell model opens a path for applications to the\ndouble-beta ($\\beta\\beta$) decay process.",
"arxiv_id": "nucl-th/0607041",
"authors": [
"J. P. Vary",
"S. Popescu",
"S. Stoica",
"P. Navratil"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/36/8/085103",
"journal_ref": "J.Phys.G36:085103,2009",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "No-core shell model for 48-Ca, 48-Sc and 48-Ti",
"url": "https://arxiv.org/abs/nucl-th/0607041"
},
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