An Algebraic Pairing Model with Sp(4) Symmetry and its Deformation

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dc.creatorSviratcheva, K. D.
dc.creatorGeorgieva, A. I.
dc.creatorDraayer, J. P.
dc.date2002-04-27
dc.date2003-08-08
dc.date.accessioned2026-07-07T11:32:38Z
dc.date.available2026-07-07T11:32:38Z
dc.descriptionA fermion realization of the compact symplectic sp(4) algebra provides a natural framework for studying isovector pairing correlations in nuclei. While these correlations manifest themselves most clearly in the binding energies of 0^+ ground states, they also have a large effect on the energies of excited states, including especially excited 0^+ states. In this article we consider non-deformed as well as deformed algebraic descriptions of pairing through the reductions of sp_{(q)}(4) to different realizations of u_{(q)}(2) for single-j and multi-j orbitals. The model yields a classification scheme for completely paired 0^{+} states of even-even and odd-odd nuclei in the 1d_{3/2}, 1f_{7/2}, and 1f_{5/2}2p_{1/2}2p_{3/2}1g_{9/2} shells. Phenomenological non-deformed and deformed isospin-breaking Hamiltonians are expressed in terms of the generators of the dynamical symmetry groups Sp(4) and Sp_{q}(4). These Hamiltonians are related to the most general microscopic pairing problem, including isovector pairing and isoscalar proton-neutron interaction along with non-linear interaction in the deformed extension. In both the non-deformed and deformed cases the eigenvalues of the Hamiltonian are fit to the relevant Coulomb corrected experimental 0^{+} energies and this, in turn, allows us to estimate the interaction strength parameters, to investigate isovector-pairing properties and symmetries breaking, and to predict the corresponding energies. While the non-deformed theory yields results that are comparable to other theories for light nuclei, the deformed extension, which takes into account higher-order interactions between the particles, gives a better fit to the data. The multi-shell applications of the model provide for reasonable predictions of energies of exotic nuclei.
dc.description19 pages, 5 figures minor changes; improvements to achieve a better and clearer presentation of our messages and ideas
dc.identifierhttps://arxiv.org/abs/nucl-th/0204070
dc.identifierhttp://arxiv.org/abs/nucl-th/0204070
dc.identifierJ.Phys.G29:1281-1298,2003
dc.identifierdoi:10.1088/0954-3899/29/6/325
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197664
dc.subjectNuclear Theory
dc.titleAn Algebraic Pairing Model with Sp(4) Symmetry and its Deformation
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