The effect of core polarization on longitudinal form factors in ${}^{10}$B

Electron scattering Coulomb form factors for the single-particle quadrupole transitions in $p$-shell ${}^{10}$B nucleus have been studied. Core polarization effects are included through a microscopic theory that includes excitations from the core orbits up to higher orbits with 2$\mathrm{\hslash }$$\omega$ excitations. The modified surface delta interaction (MSDI) is employed as a residual interaction. The effect of core polarization is found essential in both the transition strengths and momentum transfer dependence of form factors, and gives a remarkably good agreement with the measured data with no adjustable parameters.