Near Degeneracies of the Intrinsic State Energies of Many-Particle, Many-Hole Deformed Configurations

Dc, Zheng; Berdichevsky, D. B.; Zamick, Larry

doi:10.1103/physrevlett.60.2262

Cited by 8 publications

(2 citation statements)

References 15 publications

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“…The stability of this rotational structure is not matched by the theoretical situation. In Skyrme-Hartree-Fock calculations a close degeneracy is found between the 4p-4h and 8p-8h configurations is found [47], but that the superdeformed state should have a 8p-8h character. However, in Nilsson-Strutinsky type calculations [50] only the 4p-4h and 12p-12h structures were found to be stable.…”

Section: Heavier Systems: 40 Camentioning

confidence: 89%

The clustered nucleus—cluster structures in stable and unstable nuclei

Freer¹

2007

Rep. Prog. Phys.

330

381

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The subject of clustering has a lineage which runs throughout the history of nuclear physics. Its attraction is the simplification of the often uncorrelated behaviour of independent particles to organized and coherent quasi-crystalline structures. In this review the ideas behind the development of clustering in light nuclei are investigated, mostly from the stand-point of the harmonic oscillator framework. This allows a unifying description of alpha-conjugate and neutron-rich nuclei, alike. More sophisticated models of clusters are explored, such as antisymmetrized molecular dynamics. A number of contemporary topics in clustering are touched upon; the 3α-cluster state in 12 C, nuclear molecules and clustering at the drip-line. Finally, an understanding of the 12 C + 12 C resonances in 24 Mg, within the framework of the theoretical ideas developed in the review, is presented.

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Section: Heavier Systems: 40 Camentioning

confidence: 89%

The clustered nucleus—cluster structures in stable and unstable nuclei

Freer¹

2007

Rep. Prog. Phys.

330

381

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“…An example of this is realized in 44 Ti, as depicted in Figure 43. Details behind these schematic estimates are given in [150][151][152] (see also [153,154]).…”

Section: Collectivity In the Calcium Isotopesmentioning

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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