dorsal/arxiv
View SchemaA composite bosons minimal basis for the pairing Hamiltonian
| Authors | M. B. Barbaro, A. Molinari, F. Palumbo, M. R. Quaglia |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912035 |
| URL | https://arxiv.org/abs/nucl-th/9912035 |
| DOI | 10.1016/S0370-2693(00)00159-3 |
| Journal | Phys.Lett. B476 (2000) 477-487 |
Abstract
The pairing interaction among identical nucleons in a single-particle level is treated in the hamiltonian formalism using even Grassmann variables. A minimal (irreducible) basis having a remarkable symmetry property is set up using composite, commuting variables with a finite index of nilpotency. Eigenvalues and eigenfunctions of given energy, seniority and zero third component of the angular momentum of the pairing hamiltonian are then found. The eigenvectors, which cannot be cast solely in terms of composite bosons with angular momentum zero and two, are expanded in the minimal basis with coefficients analytically expressed in terms of a generalized hypergeometric function.
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"abstract": "The pairing interaction among identical nucleons in a single-particle level\nis treated in the hamiltonian formalism using even Grassmann variables. A\nminimal (irreducible) basis having a remarkable symmetry property is set up\nusing composite, commuting variables with a finite index of nilpotency.\nEigenvalues and eigenfunctions of given energy, seniority and zero third\ncomponent of the angular momentum of the pairing hamiltonian are then found.\nThe eigenvectors, which cannot be cast solely in terms of composite bosons with\nangular momentum zero and two, are expanded in the minimal basis with\ncoefficients analytically expressed in terms of a generalized hypergeometric\nfunction.",
"arxiv_id": "nucl-th/9912035",
"authors": [
"M. B. Barbaro",
"A. Molinari",
"F. Palumbo",
"M. R. Quaglia"
],
"categories": [
"nucl-th",
"hep-ph",
"hep-th"
],
"doi": "10.1016/S0370-2693(00)00159-3",
"journal_ref": "Phys.Lett. B476 (2000) 477-487",
"title": "A composite bosons minimal basis for the pairing Hamiltonian",
"url": "https://arxiv.org/abs/nucl-th/9912035"
},
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