The solution to a multichannel Bethe potential and its application to pion-nucleus reactions

Details The solution to a multichannel Bethe potential and its application to pion-nucleus reactions The solution to a multichannel Bethe potential and its application to pion-nucleus reactions

1997-07-22

arxiv.org/abs/hep-ph/9707429v2

Phys.Rev. A58 (1998) 1980-1987

Physics

High Energy Physics

High Energy Physics - Phenomenology

Title changed and other minor changes. 14pages, latex, no figures

Scientific paper

10.1103/PhysRevA.58.1980

We solve a radial Schr\"odinger equation for the case of a multichannel square well plus an exponential potential in one of the channels. The solution is obtained by summing exactly the infinite terms of the perturbative series for the evolution operator of the system. Analytical expressions for the scattering matrix and the scattering length are given, a Deser-like formula which connects approximate ground energies and scattering length is obtained for a particular case. Possible physical applications of these results are discussed briefly.

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