The evidence for the rotation-particle coupling effect in $K=\frac{3}{2}$ band levels in odd-proton rare-earth nuclei is examined. Empirical analysis establishes the presence of an alternating term in the rotational energy expression and phenomenological fits to the observed energies result in an evaluation of the coefficient of the alternating energy term. Interpretation of this coefficient as arising from the perturbation treatment of the Coriolis interaction term is examined through theoretical calculation employing the usual Nilsson model potential. The effect of the variation of the potential parameters and the introduction of a deformation in the spin-orbit term are studied. The results are compared with those obtained in an earlier similar study of the odd-neutron rare-earth nuclei.

NUCLEAR STRUCTURE Odd-$Z$ even-$N$ rare earth nuclei, calculated Coriolis perturbation effects to $K=\frac{3}{2}$ rotational band levels.

• Received 9 May 1974

DOI:https://doi.org/10.1103/PhysRevC.11.269