Three-body Unitarity with Isobars Revisited
Nuclear Theory
2017-09-12 v2 High Energy Physics - Phenomenology
Abstract
The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. This property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.
Cite
@article{arxiv.1706.06118,
title = {Three-body Unitarity with Isobars Revisited},
author = {M. Mai and B. Hu and M. Doring and A. Pilloni and A. Szczepaniak},
journal= {arXiv preprint arXiv:1706.06118},
year = {2017}
}
Comments
18 pages, 5 figures