Extraction of accurate scattering information from apparently divergent Fredholm series: the centrifugal barrier

By treating the centrifugal barrier l(l+1)/2r 2 as part of the physical potential it is shown that partial wave scattering information may be calculated, using the Fredholm method, for arbitrary values of l without using the usual distorted basis of spherical Bessel functions. This is true in spite of the fact that the Fredholm series formally diverges for a potential for which lim r to 0 r 2 V(r) not=0. A general method is outlined which is capable of handling both single and multichannel scattering problems. Examples of its use are given.