Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method
Nuclear Theory
2011-04-20 v2 Mathematical Physics
math.MP
Abstract
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 - case.
Cite
@article{arxiv.1101.3691,
title = {Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method},
author = {Andrey Pupasov and Boris F. Samsonov and Jean-Marc Sparenberg and Daniel Baye},
journal= {arXiv preprint arXiv:1101.3691},
year = {2011}
}
Comments
4 pages, 4 figures