Scattering phase shift in stochastic fields

A very simple model of a spherically symmetric potential likeμ/r, withμ varying randomly alongr, the distance from the scattering centre is analysed and it is found that ifμ changes its sign in a stochastic fashion, the average potential felt at each pointr consists of a coulomb part as well as a short range Yukawa type component. Using the non linear equations for the phase function for potential scattering of a Schrödinger particle, the average and other moments of the phase shifts can be computed in certain approximations.