Bound States and Scattering in an r?2 Potential

Abstract

The bound-state and scattering wavefunctions for a particle moving in a central r-2 potential are investigated. There are no discrete bound states: the discrete states which result when an infinite repulsive core is introduced are specified. The scattering wavefunctions which satisfy physical requirements such as zero net outflow of particles from the scattering region are found. The phase-shifts at are independent of energy and for large I to go to zero as (21+ 1)-1.