Form factors and radiation widths of the giant multipole resonances

Simple analytic relations for the form factors of inelastic electron scattering in the Born approximation and radiation widths of the isovector and isoscalar giant multipole resonances are derived. The dynamic relationship between the volume and surface density vibrations were taken into account in this calculation. The form factors in the Born approximation were found to be in satisfactory agreement with experimental data in the region of small transferred momenta. The radiation widths of isoscalar multipole resonances increase when the number of nucleons increase as A1/3, and for isovector resonances this dependence has the form f(A)A1/3, where f(A) is a slowly increasing function of A. Radiation widths well fit the experimental data