Abstract
The influence of quadrupole and hexadecapole residual interactions on rotational bands is investigated in a single-$j$ shell model. An exact shell-model diagonalization of the quadrupole-plus-hexadecapole Hamiltonian demonstrates that the hexadecapole-hexadecapole interaction can sometimes produce a staggering of energy levels in the yrast sequence; however, long and regular $\ensuremath{\Delta}I=2$ sequences are not obtained. The shell-model results are discussed in terms of the intrinsic deformations extracted by means of the self-consistent Hartree-Fock method. The angular momentum dependence of intrinsic quadrupole and hexadecapole moments ${Q}_{2\ensuremath{\mu}}$ and ${Q}_{4\ensuremath{\mu}}$ is investigated.
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