Comprehensive relations for hadron-nucleus inelastic excitations in terms of elastic scattering

We obtain closed form asymptotic approximations to the eikonal form for inelastic hadron-nucleus scattering to strongly excited nuclear states. These forms exploit the dominance of the nuclear geometry recently used by us to obtain the elastic scattering amplitudes. Our forms agree well with the data. We find that the inelastic scattering can be written in terms of the elastic scattering cross section. These data-to-data forms agree remarkably well with experiment and serve to emphasize the geometric unity of the reactions. The simplicity of these expressions and relations should make them useful in medium energy phenomenology