The modified Newton-Sabatier method for the coupled channel inverse scattering problem at fixed energy

The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrodinger equations are assumed to depend on a potential matrix which does not couple states with different orbital angular momenta. We present applications of our method to S-matrices calculated with potential matrices of Woods-Saxon type. In the case of charged particles the corresponding S-matrix with the asymptotic Coulomb potential is transformed to the S-matrix with an asymptotic constant potential. The resulting S-matrix then serves as input for the inverse scattering problem of neutral particles.