https://doi.org/10.1140/epja/i2017-12368-4
Regular Article - Theoretical Physics
Three-body unitarity with isobars revisited
1
The George Washington University, 20052, Washington, DC, USA
2
Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA
3
Center for Exploration of Energy and Matter, Indiana University, 47403, Bloomington, IN, USA
4
Physics Department, Indiana University, 47405, Bloomington, IN, USA
* e-mail: doring@gwu.edu
Received:
29
June
2017
Accepted:
17
August
2017
Published online:
8
September
2017
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 
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.
© SIF, Springer-Verlag GmbH Germany, 2017
