dorsal/arxiv
View SchemaShell-model calculations for the three-nucleon system
| Authors | P. Navratil, B. R. Barrett |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9711027 |
| URL | https://arxiv.org/abs/nucl-th/9711027 |
| DOI | 10.1103/PhysRevC.57.562 |
| Journal | Phys.Rev.C57:562-568,1998 |
Abstract
We use Faddeev's decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to $32 \hbar\Omega$ in the present calculations, and on the harmonic-oscillator frequency is studied. Effective interactions derived from Nijmegen II and Reid93 potentials are used in the calculations. The binding energies obtained are close to those calculated by other methods. The structure of the Faddeev equations is discussed and a simple formula for matrix elements of the permutation operators in a harmonic-oscillator basis is given. The Pauli principle is properly treated in the calculations.
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"abstract": "We use Faddeev\u0027s decomposition to solve the shell-model problem for three\nnucleons. The dependence on harmonic-oscillator excitations allowed in the\nmodel space, up to $32 \\hbar\\Omega$ in the present calculations, and on the\nharmonic-oscillator frequency is studied. Effective interactions derived from\nNijmegen II and Reid93 potentials are used in the calculations. The binding\nenergies obtained are close to those calculated by other methods. The structure\nof the Faddeev equations is discussed and a simple formula for matrix elements\nof the permutation operators in a harmonic-oscillator basis is given. The Pauli\nprinciple is properly treated in the calculations.",
"arxiv_id": "nucl-th/9711027",
"authors": [
"P. Navratil",
"B. R. Barrett"
],
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"nucl-th"
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"doi": "10.1103/PhysRevC.57.562",
"journal_ref": "Phys.Rev.C57:562-568,1998",
"title": "Shell-model calculations for the three-nucleon system",
"url": "https://arxiv.org/abs/nucl-th/9711027"
},
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