Electrodisintegration of the Deuteron. II. Final-State Interactions

Abstract

The effects of interactions between the outgoing nucleons on the cross sections for the inelastic electron-deuteron scattering process $e+d\ensuremath{\rightarrow}e+p+n$ are examined in detail. Results are presented as corrections to the theoretical cross sections which were calculated in a previous paper with a relativistic theory but neglecting final-state interactions. The changes are significant for the determination of the electromagnetic form factors of the neutron from the experimental cross sections. The method of the paper follows the treatment of final-state interactions given by Durand, extended to include the $D$ state of the deuteron and the coupling between final-state partial waves of the same total angular momentum and parity. The resulting expressions for the quasielastic peak cross sections are expected to be valid in the momentum-transfer range $0\ensuremath{\lesssim}{q}^{2}\ensuremath{\lesssim}1.0$ ${(\mathrm{B}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$. An alternative approach is suggested for the analysis of experiments at larger ${q}^{2}$ using an absorption model of the type which has been applied successfully to high-energy particle reactions.