The coupled-channel method is considered in the context of relativistic hadron or lepton scattering by nonspherical dynamical nuclei. The program Zenith, which calculates electron-nucleus scattering via Coulomb and magnetic multipole potentials, is described and is applied in particular to the deformed samarium isotopes ${}_{}{}^{152}{}_{}{}^{}\mathrm{Sm}$ and ${}_{}{}^{154}{}_{}{}^{}\mathrm{Sm}$. Two- and three-level calculations for the ground state 0+ and the excited states 2+ and 4+ containing all relevant $l=0, 2, \mathrm{and} 4$ Coulomb potentials are described. The elastic dispersion effect, arising mainly from coupling with the 2+ first excited state, and the dispersive effect on the 0+ → 2+ inelastic cross section, coming mainly from the diagonal $l=2\mathrm{}$ scattering in the excited state, are appreciable at 105 MeV, the highest energy at which measurements have been made. The largest effect, however, is that on the 0+ → 4+ inelastic cross section arising from the sequential excitation 0+ → 2+ → 4+ via the $l=2\mathrm{}$ potential. It has interesting small-angle behavior and becomes greater than 20% at the largest measured angles at 105 MeV. The dependence of some of these effects on energy and $q_{\mathrm{eff}}$ is explored up to 250 MeV and 2 ${\mathrm{fm}}^{-1\mathrm{}}$.

NUCLEAR REACTIONS ${}_{}{}^{152,4}{}_{}{}^{}\mathrm{Sm}(e,e^{\prime })$ calculations, coupled channels, $50 \mathrm{MeV}<E<\mathrm{}250\mathrm{} \mathrm{MeV}$. Dispersive effects on elastic and inelastic cross sections.

Close

PrevNext

View figure in article