Nuclear Deformations from the Interference Effects between Coulomb and Nuclear Excitations in InelasticαScattering onSm152

Abstract

$\alpha$ particles in the energy range 11-18 MeV were used to excite the $2^{+}$ and $4^{+}$ members of the ground-state band in ${}_{}{}^{152}{}_{}{}^{}\mathrm{Sm}$. The measured excitation probabilities were analyzed in the framework of Coulomb excitation and the deformed optical model. The resulting electrical transition matrix elements and optical-model deformation parameters are $〈0^{+}\parallel m\left(E2\mathrm{}\right)\mathrm{}\parallel 2^{+}〉=(1.86\mathrm{}\pm 0.03)e$ b, $〈0^{+}\parallel m\left(E4\mathrm{}\right)\mathrm{}\parallel 4^{+}〉=(0.37\mathrm{}\pm 0.09)e$ ${\mathrm{b}}^2$, ${\beta }_2=0.214\mathrm{}\pm 0.007$, and ${\beta }_4=0.038\mathrm{}\pm 0.007$.