Abstract
Previous works have shown the properties and the possibility of useful approximate methods for Jost functions and radial wave functions in the case of Yukawa generalized potentials. Here we extend some of these results for the same family of short range potentials but with a behaviour near the origin like —G/r2, [G<(l+1/22]. The key is to find a singular factor such that the analysis follows as closely as possible the usual development. A method is presented for calculating the Jost function by use of Laplace transform giving approximations always convergent, without any cut-off or hard-core procedure.
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