Extraction of accurate scattering information from apparently divergent Fredholm series: the centrifugal barrier
- 1 October 1971
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 4 (10) , 1279-1287
- https://doi.org/10.1088/0022-3700/4/10/013
Abstract
By treating the centrifugal barrier l(l+1)/2r2 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 limr to 0 r2V(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.Keywords
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