2003/04/14 by K. D. Sviratcheva, A. I. Georgieva, J. P. Draayer
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1088/0305-4470/36/27/310
published as J.Phys.A36:7579-7588,2003 · 10 pages
arxiv created 2003/04/14 · openalex publication_date 2003/06/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 β-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.