Optical potential for scattering from a system of finite-mass particles

We consider a projectile scattering elastically from a system of finite-mass constituents via a separable microscopic interaction. In order to reduce the situation to a solvable problem, several standard assumptions are necessary. The validity of these assumptions can be checked in a given model problem. The optical potential is identified by comparing the multiple scattering series we obtain with that obtained in the equivalent one-body problem. The optical potential explicitly exhibits the effects of the Fermi motion and finite mass of the target particles and is a generalization of an optical potential obtained earlier. Our results are in a form suitable for application to intermediate energy projectile many-body target scattering.