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Updated: Jun 2, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method
Andrey Pupasov1, Boris F Samsonov, Jean-Marc Sparenberg
1Physics Department, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russia.
Abstract:
A second-order supersymmetric transformation is presented, for the two-channel Schrödinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the eigenphase shifts, and modifies the potential matrix analytically. The iteration of a few such transformations allows a precise fit of realistic mixing parameters in terms of a Padé expansion of both the scattering matrix and the effective-range function. The method is applied to build an exactly solvable potential for the neutron-proton (3)S1-(3)D1 case.
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