Multi-Shell Shell Model for Heavy Nuclei

Abstract

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the Projected Shell Model (PSM) and the Fermion Dynamical Symmetry Model (FDSM), to construct a multi-shell shell model. The PSM is an efficient method of coupling quasi-particle excitations to the high-spin rotational motion, whereas the FDSM contains a successful truncation scheme for the low-spin collective modes from the spherical to the well-deformed region. The new shell model is expected to describe simultaneously the single-particle and the low-lying collective excitations of all known types, yet keeping the model space tractable even for the heaviest nuclear systems.

14 pages, 1 figure, and 2 tables

References in corpus (5)

• Shell-model calculations of stellar weak interaction rates: II. Weak rates for nuclei in the mass range A=45-65 in supernovae environment
• Single-Particle and Collective Motion for Proton-Rich Nuclei on the Astrophysical rp-Process Path
• Superdeformed Band in ^{36}Ar Described by Projected Shell Model
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Cited by in corpus (7)

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• Shell model method for Gamow-Teller Transitions in heavy, deformed nuclei
• Projected shell model description of nuclear level density: Collective, pair-breaking, and multiquasiparticle regimes in even-even nuclei
• Description of collective and quasiparticle excitations in deformed actinide nuclei: The first application of the Heavy Shell Model
• States of the ${}^{12}$C Nucleus in the Toroidal Configuration