Signature splitting in nuclear rotational bands: Neutron i13/2 systematics.

Abstract

Experimental values of signature splitting in \ensuremath{\nu}${\mathit{i}}_{13/2}$ rotational bands in odd-N even-Z nuclei in the Z=62--78 region are collected and presented. A procedure is introduced to calculate signature splitting within the cranked deformed Woods-Saxon model. In the theoretical treatment, deformation parameters are obtained by minimizing the total Routhians of individual \ensuremath{\nu}${\mathit{i}}_{13/2}$ bands, and the procedure accounts for the possibility that the two signatures have different deformations and pairing gaps. Experimental signature splitting data for \ensuremath{\nu}${\mathit{i}}_{13/2}$ bands in Dy, Er, Yb, Hf, W, and Os nuclei are compared with calculated values. The sensitivity of calculated signature splitting to changes in deformation, pairing, and other model parameters is presented.