Eikonal exchange amplitudes and the inclusion of exchange in elastic (e, H) scattering

The six-dimensional integral involved in the eikonal ($e$, H) rearrangement amplitudes is reduced to a two-dimensional form. When the Glauber condition $\overrightarrow{\mathrm{q}}·\hat{z}=0\mathrm{}$ is imposed, there is no post-prior discrepancy in the elastic rearrangement amplitudes. The Ochkur reduction of the rearrangement amplitudes is obtained in a closed form. Application is made to the inclusion of the exchange effect in the Glauber calculation of elastic ($e$, H) scattering at 50 eV.