Ground-state and transition charge densities inOs192

Elastic and inelastic electron-scattering cross sections of an Os-Pt transition region nucleus, ${}_{}{}^{192}{}_{}{}^{}\mathrm{Os}$, have been measured in a momentum transfer range from 0.6 to 2.9 ${\mathrm{fm}}^{-1\mathrm{}}$. The data for the ground and the $J^{\pi }=2^{+}, 2^{+\prime }, 4^{+}, \mathrm{and} 3^{-}$ states were analyzed model independently with a Fourier-Bessel parametrization of the ground state and transition charge densities. The normalization of the (e,e′) cross sections was obtained from a combined analysis with muonic-atom data for the ground and first $2^{+}$ states. The densities and their radial moments are compared with theoretical predictions of the Davydov model and with axially symmetric deformed density-matrix-expansion Hartree-Fock calculations (including the Legendre expansion and the small-amplitude vibration model extensions).