Deformation parameters of the charge distribution and the optical potential for some nuclei in and near the rare earth region

Elastic and inelastic scattering of $\alpha$ particles on ${}_{}{}^{154}{}_{}{}^{}\mathrm{Sm}$, ${}_{}{}^{166}{}_{}{}^{}\mathrm{Er}$, ${}_{}{}^{168}{}_{}{}^{}\mathrm{Er}$, ${}_{}{}^{182}{}_{}{}^{}\mathrm{W}$, ${}_{}{}^{184}{}_{}{}^{}\mathrm{W}$, and ${}_{}{}^{186}{}_{}{}^{}\mathrm{W}$ was performed with incident energies between 11 and 21 MeV. Excitation functions for $0^{+}$, $2^{+}$, and $4^{+}$ states of the ground-state rotational band were measured. Pronounced destructive nuclear-Coulomb interference effects were observed. Reduced $E2\mathrm{}$ and $E4\mathrm{}$ transition moments, and charge and optical-potential deformation parameters were determined from coupled-channel analysis of both the sub-Coulomb and interference data.