Abstract
The linearized Calogero equation for tanδ l (r) has never been applied to singular potentials with a repulsive core. It is shown that the solution can be written in the form of integrals. Even in the low-energy limit rough estimates can at least be obtained. This can be seen from a comparison of scattering-lengths calculated, both exactly and approximately, for negative-power potentials.
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It is a great pleasure to me to thank Professor S.Flügge for many discussions and for a careful reading of the manuscript.
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Krüger, H. Low-energy scattering by singular potentials in the linearized approximation to Calogero's equation. Z. Physik 205, 338–341 (1967). https://doi.org/10.1007/BF01325588
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DOI: https://doi.org/10.1007/BF01325588