Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-04-14
J.Phys.A36:7579-7588,2003
Physics
Nuclear Physics
Nuclear Theory
10 pages
Scientific paper
10.1088/0305-4470/36/27/310
A multi-shell generalization of a fermion representation of the q-deformed compact symplectic sp_q(4) algebra is introduced. An analytic form for the action of two or more generators of the Sp_q(4) symmetry on the basis states is determined and the result used to derive formulae for the overlap between number preserving states as well as for matrix elements of a model Hamiltonian. A second-order operator in the generators of Sp_q(4) is identified that is diagonal in the basis set and that reduces to the Casimir invariant of the sp(4) algebra in the non-deformed limit of the theory. The results can be used in nuclear structure applications to calculate beta-decay transition probabilities and to provide for a description of pairing and higher-order interactions in systems with nucleons occupying more than a single-j orbital.
Draayer Jerry P.
Georgieva A. I.
Sviratcheva Kristina D.
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