A weak coupling model for high-spin states

Wiebicke, H.J.; Münchow, L.

doi:10.1016/0370-2693(74)90252-4

Cited by 14 publications

(2 citation statements)

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“…This is a pattern of organization related to the studies of a single-j particle coupled to a rigid triaxial rotor, by Juergen Meyer-ter-Vehn [95,96]; indeed, he suggested such a pattern in 187 Ir, long before detailed spectroscopic information was available: an up-to-date view of 187 Ir is shown in Figures 21 and 22, and these strongly support the view. Further note that a very similar pattern appeared in a weak coupling description [97]. 125 Xe, associated with j = 11/2 into a "hyperband" pattern due to Meyer-ter-Vehn [95,96].…”

Section: Nuclei With Open Shells; Emergence Of Collectivitymentioning

confidence: 81%

“…Noting that the "parent" j configurations are 1g 9/2 and 1h 11/2 , i.e., they differ by one unit of spin, the patterns are similar to the point that they are close to identical. (We recognize that, in the yttrium isotopes, there is a "delayed" onset of collectivity in 91,93,95,97 Y, an issue which does not concern us here). These patterns suggest that there is an underlying coupling scheme that is defined by just a few simple basic features.…”

Section: Nuclei With Open Shells; Emergence Of Collectivitymentioning

confidence: 87%

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To Shell Model, or Not to Shell Model, That Is the Question

Stuchbery

Wood

2022

Physics

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The present review takes steps from the domain of the shell model into open shell nuclei. The question posed in the title is to dramatize how far shell model approaches, i.e., many nucleons occupying independent-particle configurations and interacting through two-body forces (a configuration interaction problem) can provide a description of nuclei as one explores the structure observed where neither proton nor neutron numbers match closed shells. Features of doubly closed and singly closed shell nuclei and adjacent nuclei are sketched, together with the roles played by seniority, shape coexistence, triaxial shapes and particle–core coupling in organizing data. An illuminating step is taken here to provide a detailed study the reduced transition rates, B(E2;21+→01+), in the singly closed shell nuclei with doubly closed shell plus or minus a pair of identical nucleons, and the confrontation between such data and state-of-the-art shell model calculations: this amounts to a review of the effective charge problem. The results raise many questions and point to the need for much further work. Some guidance on criteria for sharpening the division between the domain of the shell model and that of deformation-based descriptions of nuclei are provided. The paper is closed with a sketch of a promising direction in terms of the algebraic structure embodied in the symplectic shell model.

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