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Second-order eikonal corrections for
Authors:B. Van Overmeire  J. Ryckebusch  
Affiliation:aDepartment of Subatomic and Radiation Physics, Ghent University, Proeftuinstraat 86, B-9000 Gent, Belgium
Abstract:The first-order eikonal approximation is frequently adopted in interpreting the results of A(e,ep) measurements. Glauber calculations, for example, typically adopt the first-order eikonal approximation. We present an extension of the relativistic eikonal approach to A(e,ep) 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 Q2≈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.
Keywords:  mml22"  >  text-decoration:none   color:black"   href="  /science?_ob=MathURL&_method=retrieve&_udi=B6TVN-4NWNCP5-1&_mathId=mml22&_user=10&_cdi=5539&_rdoc=7&_acct=C000053510&_version=1&_userid=1524097&md5=13e830942db83863048a60c9edad4098"   title="  Click to view the MathML source"   alt="  Click to view the MathML source"  >A(e,e  p) reactions   Eikonal approximation   Second-order corrections   Optical potentials
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