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Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell

S. S. Avancini·J. R. Marinelli·D. P. Menezes·M. M. Watanabe de Moraes·N. Yoshinaga
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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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S. S. Avancini, J. R. Marinelli, D. P. Menezes, M. M. Watanabe de Moraes, N. Yoshinaga. 1997-01-29. Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell. https://arxiv.org/abs/nucl-th/9701061

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