Mixed-Symmetry Shell-Model Calculations

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dc.creatorGueorguiev, V. G.
dc.creatorDraayer, J. P.
dc.date2002-10-10
dc.date.accessioned2026-07-07T05:39:18Z
dc.date.available2026-07-07T05:39:18Z
dc.descriptionThe one-dimensional harmonic oscillator in a box problem is used to introduce the concept of an oblique-basis shell-model theory. The method is applied to nuclei by combining traditional spherical shell-model states with SU(3) collective configurations. An application to $^{24}$Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this oblique-basis, mixed-symmetry shell-model concept. The applicability of the theory to the lower pf-shell nuclei $^{44-48}$Ti and $^{48}$Cr using the Kuo-Brown-3 interaction is also discussed. While these nuclei show strong SU(3) symmetry breaking due mainly to the single-particle spin-orbit splitting, they continue to yield enhanced B(E2) values not unlike those expected if the symmetry were not broken. Other alternative basis sets are considered for future oblique-basis shell-model calculations. The results suggest that an oblique-basis, mixed-symmetry shell-model theory may prove to be useful in situations where competing degrees of freedom dominate the dynamics.
dc.description4 pages, 6 figures, iopart style, talk presented at the XXIV International Colloquium on Group Theoretical Methods in Physics in Paris, France, July 15-20, 2002
dc.identifierhttps://arxiv.org/abs/nucl-th/0210034
dc.identifierhttp://arxiv.org/abs/nucl-th/0210034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81917
dc.subjectNuclear Theory
dc.titleMixed-Symmetry Shell-Model Calculations
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