Transverse electric form factors for electron scattering and violation of current conservation in nuclear models

Abstract

Comparison is made between calculations of transverse electric form factors using the standard expression for the electric multipole operator and those obtained by invoking current conservation in the long wavelength limit and for arbitrary momentum transfer. In all cases, only the free-nucleon one-body current and charge operators are explicitly used. Results are presented for select E2 transitions in C12, Ne20, Mg24, and Si28. It is found that the form factors yielded by the various operators differ significantly when the conventional 0Latin small letter h with strokeω shell model wave functions are used, confirming that these do violate conservation of the usual free-nucleon current. For ..