Abstract

The first terms of the effective range expansion are accurately determined with a small number of evaluations of the potential. The method is based on the R matrix theory with a Lagrange basis which leads to a simple meshlike approximation. It is valid for both neutral and charged collisions for arbitrary partial waves. The accuracy of the algorithm is illustrated with an analytically solvable example, with different cases of potential scattering and in particular with the Paris and Bonn nucleon-nucleon potentials.

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