Electron scattering from vibrational nuclei

We present electron scattering form factors for the ground states and several low energy quadrupole excitations of the nuclei ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$, ${}_{}{}^{110}{}_{}{}^{}\mathrm{Pd}$, ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$, and ${}_{}{}^{116}{}_{}{}^{}\mathrm{Sn}$. For ${}_{}{}^{116}{}_{}{}^{}\mathrm{Sn}$ we also present the form factor for the lowest octupole excitation. From these data we derive ground state charge distribution parameters as well as $B\left(\mathrm{EL}\right)\mathrm{}$ values. We attempt to interpret the observed $2^{+}$ states as the one- and two-phonon states of an anharmonic vibrational model. Predictions are made for the electromagnetic decay branching ratios and excited state electric quadrupole moments.