dorsal/arxiv
View SchemaExact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell
| Authors | S. S. Avancini, J. R. Marinelli, D. P. Menezes, M. M. Watanabe de Moraes, N. Yoshinaga |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701061 |
| URL | https://arxiv.org/abs/nucl-th/9701061 |
Abstract
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter $q$, is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.
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"date_created": "2026-03-02T18:00:18.958000Z",
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"abstract": "The quon algebra, which interpolates between the Bose and Fermi algebras and\ndepends on a free paramenter $q$, is used to generate a deformed Dyson boson\nexpansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole\nhamiltonian, for a single j-shell, in terms of this deformed bosonic operator.\nThe hamiltonian is diagonalized and its eigenvalues are compared with the ones\nobtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation\nparameter helps in achieving the correct energy levels, what cannot be\nencountered in practice with the usual non-deformed Dyson expansion.",
"arxiv_id": "nucl-th/9701061",
"authors": [
"S. S. Avancini",
"J. R. Marinelli",
"D. P. Menezes",
"M. M. Watanabe de Moraes",
"N. Yoshinaga"
],
"categories": [
"nucl-th"
],
"title": "Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell",
"url": "https://arxiv.org/abs/nucl-th/9701061"
},
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