Lifetime measurements in the yrast band of Lu167

Abstract

Lifetime measurements of the lower excited states in the yrast band of $^{167}\mathrm{Lu}$ have been measured using the recoil distance Doppler shift method. The excited nuclear states in $^{167}\mathrm{Lu}$ were populated via $^{159}\mathrm{Tb}\phantom{\rule{4pt}{0ex}}(^{12}\mathrm{C},4n)$ fusion-evaporation reaction at a beam energy of 74 MeV. In the experiment, the lifetime of states from ${13/2}^{\ensuremath{-}}\ensuremath{\hbar}$ to ${29/2}^{\ensuremath{-}}\ensuremath{\hbar}$ spins were obtained. From extracted lifetimes, the reduced transition probabilities $[B(E2)]$ and transition quadrupole moments $({Q}_{t})$ values have been deduced. The large $({Q}_{t})$ values obtained in the experiment indicate high deformation for $^{167}\mathrm{Lu}$ near ground state, a typical characteristic of the mass region. The almost constant values of experimental $B(E2)$ reflects the stability of deformed structure of $^{167}\mathrm{Lu}$ nucleus in the yrast configuration. The experimental results are compared with the results of the cranked Hartree-Fock-Bogoliubov model based total Routhian surface (TRS) calculations. The experimental values are in better agreement with the TRS calculations at low frequencies than at high frequencies.