Form factors and transition charge densities for the quadrupole and hexadecupole electroexcitation of some2p-1fshell nuclei

A microscopic description of the recent data on the inelastic electron scattering form factors for the $0^{+}$→$2^{+}$ as well as $0^{+}$→$4^{+}$ transitions in some doubly even Ti, Cr, Fe, Ni, and Zn isotopes is attempted in terms of the projected Hartree-Fock-Bogoliubov wave functions resulting from realistic effective interactions operating in the 2p-1f shell. It turns out that the available form factor data out to about 2.5 ${\mathrm{fm}}^{\mathrm{-}1}$ can be reproduced in most of the cases in a fairly satisfactory manner in terms of reasonable values of effective charges. It is seen that the empirical transition charge densities in Ni and Zn isotopes extracted from the form factor data via the Fourier-Bessel analysis play a decisive role vis-à-vis the choice of a model of core-polarization contributions.