dorsal/arxiv
View SchemaFour-nucleon shell-model calculations in a Faddeev-like approach
| Authors | P. Navratil, B. R. Barrett |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812062 |
| URL | https://arxiv.org/abs/nucl-th/9812062 |
| DOI | 10.1103/PhysRevC.59.1906 |
| Journal | Phys.Rev. C59 (1999) 1906-1918 |
Abstract
We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14 hbar Omega harmonic-oscillator excitations above the unperturbed ground state. Two- and three-body effective interactions derived from the Reid93 and Argonne V8' nucleon-nucleon potentials are used in the calculations. Binding energies, excitations energies, point-nucleon radii and electromagnetic and strangeness charge form factors for 4He are studied. The structure of the Faddeev-like equations is discussed and a formula for matrix elements of the permutation operators in a harmonic-oscillator basis is given. The dependence on harmonic-oscillator excitations allowed in the model space and on the harmonic-oscillator frequency is investigated. It is demonstrated that the use of the three-body effective interactions improves the convergence of the results.
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"abstract": "We use equations for Faddeev amplitudes to solve the shell-model problem for\nfour nucleons in the model space that includes up to 14 hbar Omega\nharmonic-oscillator excitations above the unperturbed ground state. Two- and\nthree-body effective interactions derived from the Reid93 and Argonne V8\u0027\nnucleon-nucleon potentials are used in the calculations. Binding energies,\nexcitations energies, point-nucleon radii and electromagnetic and strangeness\ncharge form factors for 4He are studied. The structure of the Faddeev-like\nequations is discussed and a formula for matrix elements of the permutation\noperators in a harmonic-oscillator basis is given. The dependence on\nharmonic-oscillator excitations allowed in the model space and on the\nharmonic-oscillator frequency is investigated. It is demonstrated that the use\nof the three-body effective interactions improves the convergence of the\nresults.",
"arxiv_id": "nucl-th/9812062",
"authors": [
"P. Navratil",
"B. R. Barrett"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.59.1906",
"journal_ref": "Phys.Rev. C59 (1999) 1906-1918",
"title": "Four-nucleon shell-model calculations in a Faddeev-like approach",
"url": "https://arxiv.org/abs/nucl-th/9812062"
},
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