Quality of the restricted variation after projection method with angular momentum projection

Tomás R. Rodríguez, J. L. Egido, L. M. Robledo, and R. Rodríguez-Guzmán
Phys. Rev. C 71, 044313 – Published 26 April 2005

Abstract

Recently, the restricted angular momentum variation after projection method, using the quadrupole degree of freedom as a variational coordinate in conjunction with effective interactions of the Skyrme or Gogny type, has been used very successfully to study a variety of phenomena concerning the quadrupole degree of freedom. In this paper, we study the quality of such an approach by considering additional degrees of freedom as variational coordinates: the hexadecapole moment and the fluctuations on the quadrupole moment, particle number, and angular momentum operators. The study has been performed with the Gogny interaction (D1S parametrization) for the nuclei Mg32 and Mg34. The results of the angular momentum projection and the subsequent generator coordinate calculations show that the extra degrees of freedom considered are irrelevant for the description of the lowest lying states for each angular momentum.

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  • Received 2 November 2004

DOI:https://doi.org/10.1103/PhysRevC.71.044313

©2005 American Physical Society

Authors & Affiliations

Tomás R. Rodríguez*, J. L. Egido, and L. M. Robledo

  • Departamento de Física Teórica C-XI, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

R. Rodríguez-Guzmán§

  • Institut für Theoretische Physik der Universität Tübingen, D-72076 Tübingen, Germany

  • *Email address: Tomas.Rodriguez@uam.es
  • Email address: J.Luis.Egido@uam.es
  • Email address: Luis.Robledo@uam.es
  • §Email address: rayner@tphys.physik.uni-tuebingen.de

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Issue

Vol. 71, Iss. 4 — April 2005

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