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.
CITATION STYLE
Mai, M., Hu, B., Döring, M., Pilloni, A., & Szczepaniak, A. (2017). Three-body unitarity with isobars revisited. European Physical Journal A, 53(9). https://doi.org/10.1140/epja/i2017-12368-4
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