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 ( parametrization) for the nuclei and . 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.
- Received 2 November 2004
DOI:https://doi.org/10.1103/PhysRevC.71.044313
©2005 American Physical Society