The Role of Final State Interactions in Quasielastic ${}^{56}$Fe$(e,e^{\prime })$ Reactions at large $|\vec{q}|$

Abstract

A relativistic finite nucleus calculation using a Dirac optical potential is used to investigate the importance of final state interactions [FSI] at large momentum transfers in inclusive quasielastic electronuclear reactions. The optical potential is derived from first-order multiple scattering theory and then is used to calculate the FSI in a nonspectral Green's function doorway approach. At intermediate momentum transfers excellent predictions of the quasielastic ${}^{56}$Fe$(e,e^{\prime })$ experimental data for the longitudinal response function are obtained. In comparisons with recent measurements at $|\vec{q}|=1.14$~GeV/c the theoretical calculations of $R_L$ give good agreement for the quasielastic peak shape and amplitude, but place the position of the peak at an energy transfer of about $40$~MeV higher than the data.

Comments: 13 pages typeset using revtex 3.0 with 6 postscript figures in accompanying uuencoded file; submitted to Phys. Rev. C