Staggering behavior of 0^+ state energies in the Sp(4) pairing model

Abstract

We explore, within the framework of an algebraic sp(4) shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired 0^+ states of atomic nuclei in the 40 <A < 100 mass range. The results show that the symplectic model can be used to successfully interpret fine structure effects driven by the proton-neutron (pn) and like-particle isovector pairing interactions as well as interactions with higher J multipolarity. A finite energy difference technique is used to investigate two-proton and two-neutron separation energies, observed irregularities found around the N=Z region, and the like-particle and pn isovector pairing gaps. A prominent staggering behavior is observed between groups of even-even and odd-odd nuclides. An oscillation, in addition to that associated with changes in isospin values, that tracks with alternating seniority quantum numbers related to the isovector pairing interaction is also found.

11 pages, 11 figures

References in corpus (8)

• Proton Drip-Line Calculations and the Rp-process
• Shell Model Description of Isotope Shifts in Calcium
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Spectroscopy with random and displaced random ensembles
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• "Beat" patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian
• Deformations of the fermion realization of the sp(4) algebra and its subalgebras
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Cited by in corpus (7)

• Symmetry-guided large-scale shell-model theory
• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Global Properties of fp-Shell Interactions in Many-nucleon Systems
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
• Isospin symmetry breaking in an algebraic pairing Sp(4) model