Spectroscopy of the superdeformed band inPb196

Abstract

The superdeformed band in ${}_{}{}^{196}{}_{}{}^{}\mathrm{Pb}$ has been studied extensively using the reaction ${}_{}{}^{170}{}_{}{}^{}\mathrm{Er}$ ${(}^{30}$Si,4n) at beam energies of 142, 146, and 151 MeV. New transitions have been added at the top and bottom of the previously known band. Gamma-ray directionsl correlations were measured for most of the transitions in the band verifying the expected stretched E2 character. The collectivity of the band has been measured using the Doppler shift attenuation method yielding an intrinsic quadrupole moment ${\mathit{Q}}_0$ of 18.3±3.0 e b, in good agreement with theoretical predictions. The variations of the dynamic moment of inertia ${\mathit{scrI}}^{\mathrm{}\left(2\right)\mathrm{}}$ as a function of the rotational frequency ħω have been studied and compared with cranked shell model calculations. The dependence of ${\mathit{scrI}}^{\mathrm{}\left(2\right)\mathrm{}}$ on mass for superdeformed bands in the Pb isotopes is also investigated.