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
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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