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

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

2011-01-19

arxiv.org/abs/1101.3691v2

Phys.Rev.Lett.106:152301,2011

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.106.152301

A second-order supersymmetric transformation is presented, for the two-channel Schr\"odinger 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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