Consistency of nucleon-transfer sum rules in well-deformed nuclei

Kay, B. P.; Schiffer, J. P.; Freeman, S. J.; Tang, T. L.; Cropper, B. D.; Hertenberger, R.; Keatings, J. M.; MacGregor, Patrick T.; Smith, J. F.; Wirth, H.‐F.

doi:10.1103/physrevc.103.024319

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…This was recognized long ago by Baranger [87], and even earlier by Macfarlane and French [88]. These issues have received renewed attention; see, e.g., [89,90] and references therein for a discussion of the problem. The key issue is: Which nuclei provide the best view of independent-particle degrees of freedom?…”

Section: Nuclidementioning

confidence: 99%

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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Section: Nuclidementioning

confidence: 99%