Shell Model Description of $^{158}$Gd

Details Shell Model Description of $^{158}$Gd Shell Model Description of $^{158}$Gd

2000-10-04

arxiv.org/abs/nucl-th/0010016v1

Poster presented at the Conference Bologna 2000 - Structure of the Nucleus at the Dawn of the Century, Bologna (Italy) 29th Ma

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure

Scientific paper

The pseudo-SU(3) model is used to describe the low-energy spectra as well as $E2$ and $M1$ transition strengths in $^{158}$Gd. The Hamiltonian includes spherical single-particle energies, the quadrupole-quadrupole and proton and neutron pairing interactions, plus four rotor-like terms. The parameters of the Hamiltonian were fixed by systematics with the rotor-like terms determined through a least-squares analysis. The basis states 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. The calculated results compare favorably with the available experimental data, which demonstrates the ability of the model to describe such nuclei.

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