Electron Scattering fromV51

Abstract

Form factors for the excitation of the ${}_{}{}^{51}{}_{}{}^{}\mathrm{V}$ 0.32-, 0.93-, 1.61-, 1.81-, and 2.70-MeV members of the ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}^3$ multiplet, and of the 2.40- and 3.91-MeV states have been measured for momentum transfers up to 1.8 ${\mathrm{fm}}^{-1\mathrm{}}$ by using 183- and 250-MeV electrons. Comparisons have been made with form factors calculated by using harmonic-oscillator shell-model wave functions. For the ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}^3$ multiplet, effective charges from $1.79e$ to $2.01e$ were obtained for the $E2\mathrm{}$ components of the excitations, and $1.69e$ for the $E4\mathrm{}$ component of the 2.70-MeV excitation. Higher multipole components of each excitation required smaller effective charges in the strict ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}^3$ configuration. An analysis of the elastic scattering data using a Fermi charge distribution yielded the parameters $c=3.94\mathrm{}\pm 0.03$ fm, $t=2.22\mathrm{}\pm 0.06$ fm, and 3.58 ± 0.04 fm for the rms radius.