Elsevier

Nuclear Physics A

Volume 268, Issue 2, 14 September 1976, Pages 332-346
Nuclear Physics A

Polyhedral variation and the projected Hartree-Fock approximation

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Abstract

A generalization of the Hartree-Fock approach is considered. The axially symmetric intrinsic state is oriented in a finite number of spatial directions, and a variational calculation is performed in the resulting subspace. A parametric representation of matrix elements between the rotated states is introduced. Some simple, as well as more complex polyhedral configurations are chosen. Calculations are carried out for 20Ne, 24Mg and 28Si and the results are compared and analyzed. The case of 24Mg is of particular interest, and the results are consistent with the observation that the intrinsic state should actually be non-axially symmetric.

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Work supported by the European Research Office of the United States Army through Grant Number DAERO-75-G-031.

††

Present address: Center of Techn. Education, Tel-Aviv University, Holon, Israel.

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