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Supersymmetric transformations for coupled channels with threshold differences

Boris F Samsonov·Jean-Marc Sparenberg·Daniel Baye
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Abstract

The asymptotic behaviour of the superpotential of general SUSY transformations for a coupled-channel Hamiltonian with different thresholds is analyzed. It is shown that asymptotically the superpotential can tend to a diagonal matrix with an arbitrary number of positive and negative entries depending on the choice of the factorization solution. The transformation of the Jost matrix is generalized to "non-conservative" SUSY transformations introduced in Sparenberg et al (2006 J. Phys. A: Math. Gen. 39 L639). Applied to the zero initial potential the method permits to construct superpartners with a nontrivially coupled Jost-matrix. Illustrations are given for two- and three-channel cases.

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Boris F Samsonov, Jean-Marc Sparenberg, Daniel Baye. 2007-03-23. Supersymmetric transformations for coupled channels with threshold differences. https://doi.org/10.1088/1751-8113%2F40%2F15%2F013

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