Spin dependence of intrinsic and transition quadrupole moments
- Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)
- Institut fuer Kernphysik, Universitaet zu Koeln, D-50937 Cologne (Germany)
- Nuclear Structure Laboratory, Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800 (United States)
The relation connecting an angular momentum dependence of the {gamma}-transition energies with the reduced transition probabilities B[E2;(I+2){sub gr}{yields}I{sub gr}] in the ground-state rotational band is derived based on the Bohr Hamiltonian. The relation is applicable to both {beta}-rigid and {beta}-soft both being {gamma}-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.
- OSTI ID:
- 20698897
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 72, Issue 2; Other Information: DOI: 10.1103/PhysRevC.72.024310; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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