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

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

1997-01-29

arxiv.org/abs/nucl-th/9701061v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, latex file, 1 figure (available upon request)

Scientific paper

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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