Second-Order Eikonal Corrections for A(e,e'p)

Abstract

The first-order eikonal approximation is frequently adopted in interpreting the results of $A(e,e^{\prime }p)$ measurements. Glauber calculations, for example, typically adopt the first-order eikonal approximation. We present an extension of the relativistic eikonal approach to $A(e,e^{\prime }p)$ which accounts for second-order eikonal corrections. The numerical calculations are performed within the relativistic optical model eikonal approximation. The nuclear transparency results indicate that the effect of the second-order eikonal corrections is rather modest, even at $Q^2\approx 0.2$ (GeV/c)${}^2$. The same applies to polarization observables, left-right asymmetries, and differential cross sections at low missing momenta. At high missing momenta, however, the second-order eikonal corrections are significant and bring the calculations in closer agreement with the data and/or the exact results from models adopting partial-wave expansions.

Comments: 16 pages, 4 figures, 1 table, submitted to Phys. Lett. B