Nonadiabatic Effects of Nuclear Rotational Spectra

Abstract

Based on the cranking and the pairing-plus-quadrupole force models, a description of the centrifugal stretching and the Coriolis-force antipairing effects is derived by using the number-conserved wave function in treating the pairing correlations. Detailed numerical calculations are performed to obtain the lowest order nonadiabatic parameter. The observed deviations of the rotational spectra from the $I(I+1\mathrm{})\mathrm{}$ formula are approximately accounted for in terms of the centrifugal stretching and the Coriolis-force antipairing (CAP) effects. In general, the CAP effects are more important than the centrifugal stretching effects except for nuclei in the beginning of the deformed region. There centrifugal stretching effects become comparable with the CAP effects. The dependence of both of these effects on the parametric values involved in the theory is discussed.