Electron scattering studies of the ground state rotational band ofSm152

Electron scattering cross sections have been measured for the $0^{+}$, $2^{+}$, $4^{+}$, and $6^{+}$ levels of the ground state rotational band of ${}_{}{}^{152}{}_{}{}^{}\mathrm{Sm}$ for effective momentum transfers between 0.3 and 2.9 ${\mathrm{fm}}^{\mathrm{-}1}$. The charge and transition charge densities for these states have been inferred from a combined analysis of electron scattering, muonic atom, and Coulomb excitation data. These densities are compared to the predictions of a mean field theory that describes this nucleus by a triaxial microscopic calculation in the Hartree-Fock-Bogoliubov approximation using a density-dependent force. The densities have been determined with a precision that is sufficient for the comparison of theoretical calculations with the measured densities to be sensitive to the pairing and surface properties of the effective interaction.