Shell model description of normal parity bands in odd-mass heavy deformed nuclei

Abstract

The low-energy spectra and B(E2) electromagnetic transition strengths of 159Eu, 159Tb and 159Dy are described using the pseudo SU(3) model. Normal parity bands are built as linear combinations of SU(3) states, which are the direct product of SU(3) proton and neutron states with pseudo spin zero (for even number of nucleons) and pseudo spin 1/2 (for odd number of nucleons). Each of the many-particle states have a well-defined particle number and total angular momentum. The Hamiltonian includes spherical Nilsson single-particle energies, the quadrupole-quadrupole and pairing interactions, as well as three rotor terms which are diagonal in the SU(3) basis. The pseudo SU(3) model is shown to be a powerful tool to describe odd-mass heavy deformed nuclei.

11 pages, 2 figures, Accepted to be published in Phys. Rev. C

Cited by in corpus (13)

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• Selection rules in the double beta decay of deformed nuclei
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
• Excited bands in odd-mass rare-earth nuclei
• Theoretical description of the double beta decay of 160Gd
• Double beta decay in deformed nuclei
• Electromagnetic properties in ${}^{160-170}$Dy nuclei: A microscopic description by the pseudo-SU(3) shell model
• Theoretical study of normal deformed rotational bands of odd-mass ${}^{167,169,171}$Lu nuclei
• A symmetry for heavy nuclei: Proxy-SU(3)