Neutron separation energy and emission probability at high spins.

Abstract

A new formula for the neutron separation energy at high nuclear excitations and nuclear spin is derived. The statistical theory of the superfluid nucleus is used to obtain the neutron emission probability at high spins $g50\ensuremath{\hbar}$. The results obtained here agree very well with the recent experimental data of Henss et al. for $_{68}^{156}\mathrm{Er}$. The nature and consequences of the structural transitions for the isotones $N=88$ have been investigated comprehensively. A shape transition from prolate to oblate at $I\ensuremath{\simeq}47\ensuremath{\hbar}$ is predicted for $_{68}^{156}\mathrm{Er}$.