Spin dependence of intrinsic and transition quadrupole moments

R. V. Jolos, P. von Brentano, A. Dewald, and N. Pietralla
Phys. Rev. C 72, 024310 – Published 17 August 2005

Abstract

The relation connecting an angular momentum dependence of the γ-transition energies with the reduced transition probabilities B[E2;(I+2)grIgr] in the ground-state rotational band is derived based on the Bohr Hamiltonian. The relation is applicable to both β-rigid and β-soft both being γ-rigid nuclei. Based on this result the approximate expression is obtained for the intrinsic quadrupole moment and, therefore, for the spectroscopic quadrupole moment in terms of the reduced E2 transition probabilities. It is shown that an angular momentum dependence of the intrinsic quadrupole moment can be well approximated by a linear function of I. The results obtained are direct consequences of the Bohr Hamiltonian with the Davidson potential.

  • Received 6 April 2005

DOI:https://doi.org/10.1103/PhysRevC.72.024310

©2005 American Physical Society

Authors & Affiliations

R. V. Jolos1,2, P. von Brentano3, A. Dewald3, and N. Pietralla4

  • 1Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 2Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, D-35392 Giessen, Germany
  • 3Institut für Kernphysik, Universität zu Köln, D-50937 Köln, Germany
  • 4Nuclear Structure Laboratory, Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800, USA

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Issue

Vol. 72, Iss. 2 — August 2005

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