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Three-body Unitarity with Isobars Revisited

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arxiv 1706.06118 v2 pith:QKMB7E5B submitted 2017-06-19 nucl-th hep-ph

Three-body Unitarity with Isobars Revisited

M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak This is my paper
classification nucl-th hep-ph
keywords scatteringthree-bodyunitarityamplitudesub-amplitudesaboveansatzassumption
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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