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Phys. Rev. C 71, 024313 (2005) [11 pages]

Statistical properties and broken symmetries within the shell model

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J. F. Shriner,Jr.*
Department of Physics, Tennessee Technological University, Cookeville, Tennessee 38505

G. E. Mitchell†
Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 and Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708

B. A. Brown‡
Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321

Received 5 August 2004; published 25 February 2005

Shell-model calculations in the s-d shell have been utilized to examine how the statistical behavior of eigenvalues and reduced transition probabilities are affected by broken isospin symmetry. Calculations have been performed for the nuclides 22Na,26Al, and 34Cl and have been compared to existing experimental data for 26Al and 30P. The eigenvalue statistics depend on the magnitude of the Coulomb matrix element, and this is reflected in a sensitivity to the choice of single-particle energies. The distributions of reduced transition probabilities are not universal but depend upon the particular transition mode chosen; this behavior is qualitatively similar to experimental results.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.71.024313
DOI:
10.1103/PhysRevC.71.024313
PACS:
24.80.+y, 21.60.Cs, 24.60.Ky

*Email address: jshriner@tntech.edu.

†Email address: mitchell@tunl.duke.edu.

‡Email address: brown@nscl.msu.edu.

 
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