dorsal/arxiv
View SchemaFew-nucleon systems in translationally invariant harmonic oscillator basis
| Authors | P. Navratil, G. P. Kamuntavicius, B. R. Barrett |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907054 |
| URL | https://arxiv.org/abs/nucl-th/9907054 |
| DOI | 10.1103/PhysRevC.61.044001 |
| Journal | Phys.Rev.C61:044001,2000 |
Abstract
We present a translationally invariant formulation of the no-core shell model approach for few-nucleon systems. We discuss a general method of antisymmetrization of the harmonic-oscillator basis depending on Jacobi coordinates. The use of a translationally invariant basis allows us to employ larger model spaces than in traditional shell-model calculations. Moreover, in addition to two-body effective interactions, three- or higher-body effective interactions as well as real three-body interactions can be utilized. In the present study we apply the formalism to solve three and four nucleon systems interacting by the CD-Bonn nucleon-nucleon potential. Results of ground-state as well as excited-state energies, rms radii and magnetic moments are discussed. In addition, we compare charge form factor results obtained using the CD-Bonn and Argonne V8' NN potentials.
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"abstract": "We present a translationally invariant formulation of the no-core shell model\napproach for few-nucleon systems. We discuss a general method of\nantisymmetrization of the harmonic-oscillator basis depending on Jacobi\ncoordinates. The use of a translationally invariant basis allows us to employ\nlarger model spaces than in traditional shell-model calculations. Moreover, in\naddition to two-body effective interactions, three- or higher-body effective\ninteractions as well as real three-body interactions can be utilized. In the\npresent study we apply the formalism to solve three and four nucleon systems\ninteracting by the CD-Bonn nucleon-nucleon potential. Results of ground-state\nas well as excited-state energies, rms radii and magnetic moments are\ndiscussed. In addition, we compare charge form factor results obtained using\nthe CD-Bonn and Argonne V8\u0027 NN potentials.",
"arxiv_id": "nucl-th/9907054",
"authors": [
"P. Navratil",
"G. P. Kamuntavicius",
"B. R. Barrett"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.61.044001",
"journal_ref": "Phys.Rev.C61:044001,2000",
"title": "Few-nucleon systems in translationally invariant harmonic oscillator basis",
"url": "https://arxiv.org/abs/nucl-th/9907054"
},
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