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arXiv · 1101.3691

Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method

Andrey Pupasov·Boris F. Samsonov·Jean-Marc Sparenberg·Daniel Baye
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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 Pade 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 $^3S_1$-$^3D_1$ case.

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Andrey Pupasov, Boris F. Samsonov, Jean-Marc Sparenberg, Daniel Baye. 2011-02-24. Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method. https://doi.org/10.1103/physrevlett.106.152301

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