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

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

2007-04-05

arxiv.org/abs/0704.0705v1

Phys.Lett.B650:337-343,2007

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/j.physletb.2007.04.069

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.

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