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

## TL;DR

This paper extends the relativistic eikonal approach for $A(e,e'p)$ reactions by including second-order corrections, which are modest at low momenta but significant at high missing momenta, improving agreement with experimental data.

## Contribution

It introduces second-order eikonal corrections into the relativistic eikonal approach for $A(e,e'p)$, enhancing accuracy at high missing momenta.

## Key findings

- Second-order corrections are modest at low momenta.
- Corrections become significant at high missing momenta.
- Improved agreement with experimental data at high missing momenta.

## Abstract

The first-order eikonal approximation is frequently adopted in interpreting the results of $A(e,e'p)$ measurements. Glauber calculations, for example, typically adopt the first-order eikonal approximation. We present an extension of the relativistic eikonal approach to $A(e,e'p)$ 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.