Shape of rotating quasiparticle orbits and signature splitting in La, Ce, and Pr nuclei

Abstract

A simple semiclassical picture of the rotating spatial density distribution for spin-aligned high-$j$ quasiparticles emerges from the cranking model. Evidence for the physical relevance of this picture can be sought in the signature splitting of rotational bands in $\ensuremath{\gamma}$-soft nuclei. The cerium region is a suitable testing ground, and model calculations are presented for bands which might be observed experimentally.NUCLEAR STRUCTURE Cranking model. Triaxiality of rotating quasiparticle orbitals. Calculated effect on signature splitting in high spin bands of $^{129\ensuremath{-}133}\mathrm{La}$, $^{129\ensuremath{-}135}\mathrm{Ce}$, $^{131\ensuremath{-}135}\mathrm{Pr}$.