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Multi-channel phase-equivalent transformation and supersymmetry

A. M. Shirokov·V. N. Sidorenko
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Abstract

Phase-equivalent transformation of local interaction is generalized to the multi-channel case. Generally, the transformation does not change the number of the bound states in the system and their energies. However, with a special choice of the parameters, the transformation removes one of the bound states and is equivalent to the multi-channel supersymmetry transformation recently suggested by Sparenberg and Baye. Using the transformation, it is also possible to add a bound state to the discrete spectrum of the system at a given energy $E<0$ if the angular momentum at least in one of the coupled channels $l\ge 2$.

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A. M. Shirokov, V. N. Sidorenko. 2000-09-29. Multi-channel phase-equivalent transformation and supersymmetry. https://doi.org/10.1134/1.1335100

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