Microscopic description of odd- and even-mass Er isotopes

Authors

Jorge G. Hirsch, Universidad Nacional Autónoma de México
Gabriela Popa, Rochester Institute of Technology
Carlos E. Vargas, GANIL Grand Accelerateur National d'Ions Lourds
Jerry P. Draayer, Louisiana State University

Document Type

Article

Publication Date

12-1-2002

Abstract

The pseudo-SU(3) shell model is used to describe rotational bands and B(E2) electromagnetic transition strengths in the even- and odd-mass rare earth isotopes ^{164,165,166,167,168}Er. The building blocks of the model are the pseudo-SU(3) proton and neutron states with pseudo-spin zero and 1/2, which describe even and odd numbers of nucleons, respectively. The many-particle states are built as linear combinations of pseudo-SU(3) coupled states with well-defined particle number and total angular momentum. The Hamiltonian includes spherical Nilsson single-particle energies, quadrupole-quadrupole and pairing interactions, as well as rotor terms that are diagonal in the SU(3) basis. The use of realistic single-particle energies has a fundamental importance in the appropriate description of odd-mass nuclei.

Publication Source (Journal or Book title)

Acta Physica Hungarica New Series Heavy Ion Physics

First Page

291

Last Page

301

Recommended Citation

Hirsch, J., Popa, G., Vargas, C., & Draayer, J. (2002). Microscopic description of odd- and even-mass Er isotopes. Acta Physica Hungarica New Series Heavy Ion Physics, 16 (1-4), 291-301. https://doi.org/10.1556/APH.16.2002.1-4.32