Elsevier

Nuclear Physics A

Volume 344, Issue 3, 11 August 1980, Pages 361-388
Nuclear Physics A

Sp(4, R) symmetry in light nuclei

https://doi.org/10.1016/0375-9474(80)90397-8Get rights and content

Abstract

A classification of nuclear states according to the non-compact Lie algebra Sp(4, R) is investigated. This model strikes a compromise between the Sp(6, R) and Sp(2, R) models and furnishes a practical, yet algebraically simple means for selecting those shell-model core excitations which are needed for the development of quadrupole collectivity in rotational bands of deformed nuclei. Applications to rotational bands in 24Mg and 16O, including shell-model excitations with excitation energies up to 10ħω, show that the core excitations needed to fit observed E2 rates in these nuclei are too large to be treated by perturbation theory. Despite this, a definite symplectic band structure emerges. The nature of the core excitations is very simple, so that it may be feasible to incorporate such symplectic excitation structures into more detailed shell-model calculations.

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    Work supported by the US National Science Foundation.

    Present address: Bell Laboratories, Holmdel, NJ 07733.

    ††

    On leave of absence at Max-Planck-Institut für Kernphysik, D-6900 Heidelberg W. Germany.

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