Relativistic description of (p,n) reactions to the isobaric analog state

Lorentz vector and scalar, isovector and isoscalar proton-nucleus optical potentials are obtained from invariant nucleon-nucleon amplitudes using a relativistic impulse approximation. Cross sections, analyzing powers, and spin rotation functions for ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$(p,p) and the ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$(p,n)${}_{}{}^{90}{}_{}{}^{}\mathrm{Nb}$ (isobaric analog state) reaction at 160 and 500 MeV are calculated using a relativistic generalization of the Lane equations. These predictions are compared to nonrelativistic impulse approximation results and to experimental data at 160 MeV.