The Fredholm integral method. II. The calculation of scattering amplitudes for potential scattering

Abstract

For pt. I see abstr. A23284 of 1972. A method which has previously been successful in calculating the phase shifts for the scattering of particles by a central potential is applied to the problem of calculating the scattering amplitude directly. Unlike the work of Walters, there is no singularity to be avoided in the integral equation which is approximated by quadrature. The method has been applied to a variety of central potentials and excellent agreement has been obtained with the results obtained by standard phase shift methods. The limitation of the method is that knowledge of the off-shell second Born matrix elements of the potential is required.