Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell
Sidney S. Avancini, José Ricardo Marinelli, Débora Peres Menezes +2 more
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.
arXiv:nucl-th/9701061•Jan 29, 1997•0 citations