Relativistic versus Nonrelativistic Optical Potentials in A(e,e'p)B Reactions

Abstract

We investigate the role of relativistic and nonrelativistic optical potentials used in the analysis of ($e,e^{\prime }p$) data. We find that the relativistic calculations produce smaller ($e,e^{\prime }p$) cross sections even in the case in which both relativistic and nonrelativistic optical potentials fit equally well the elastic proton--nucleus scattering data. Compared to the nonrelativistic impulse approximation, this effect is due to a depletion in the nuclear interior of the relativistic nucleon current, which should be taken into account in the nonrelativistic treatment by a proper redefinition of the effective current operator.

Added one new figure, the formalism section has been enlarged and the list of references updated. Added one appendix. This version will appear in Phys. Rev. C. Revtex 3.0, 6 figures (not included). Full postscript version of the file and figures available at http://www.nikhefk.nikhef.nl/projects/Theory/preprints/

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• Spectroscopic Factors in ${}^{40}$Ca and ${}^{208}$Pb from $(e,e^{\prime }p)$: Fully Relativistic Analysis
• Effective Hamiltonians with Relativistic Corrections I: The Foldy--Wouthuysen transformation versus the direct Pauli reduction

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