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Oblique-basis shell-model calculations

Oblique-basis shell-model calculations A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical shell model states, which yield a diagonal representation of the usual single-particle interaction, with SU(3) shell model collective configurations that track deformation. An application to 24Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this mixed-mode shell-model scheme. The theory is also applied to lower pf-shell nuclei, 44–48Ti and 48Cr, using the Kuo-Brown-3 interaction. These nuclei show strong SU(3) symmetry breaking due mainly to the single-particle spin-orbit splitting. Nevertheless, the results also show that yrast band B(E2) values are insensitive to fragmentation of SU(3) symmetry. Specifically, the quadrupole collectivity as measured by B(E2) strengths remains high even though the SU(3) symmetry is rather badly broken. The results suggest that an oblique-basis mixed-mode shell-model theory may be useful in situations where competing degrees of freedom dominate the dynamics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Physica Hungarica Series A, Heavy Ion Physics Springer Journals

Oblique-basis shell-model calculations

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Akadémiai Kiadó
Subject
Physics; Nuclear Physics, Heavy Ions, Hadrons
ISSN
1219-7580
eISSN
1588-2675
DOI
10.1556/APH.19.2004.3-4.8
Publisher site
See Article on Publisher Site

Abstract

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical shell model states, which yield a diagonal representation of the usual single-particle interaction, with SU(3) shell model collective configurations that track deformation. An application to 24Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this mixed-mode shell-model scheme. The theory is also applied to lower pf-shell nuclei, 44–48Ti and 48Cr, using the Kuo-Brown-3 interaction. These nuclei show strong SU(3) symmetry breaking due mainly to the single-particle spin-orbit splitting. Nevertheless, the results also show that yrast band B(E2) values are insensitive to fragmentation of SU(3) symmetry. Specifically, the quadrupole collectivity as measured by B(E2) strengths remains high even though the SU(3) symmetry is rather badly broken. The results suggest that an oblique-basis mixed-mode shell-model theory may be useful in situations where competing degrees of freedom dominate the dynamics.

Journal

Acta Physica Hungarica Series A, Heavy Ion Physics – Springer Journals

Published: Dec 12, 2009

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