Bound states in the B-matrix formalism for the three-body scattering

Sebastian M. Dawid, Adam P. Szczepaniak

Published 2020-10-16Version 1

We consider a model of relativistic three-body scattering with a bound state in the two-body sub-channel. We show that the na\"ive K-matrix type parametrization, here referred to as the B-matrix, has nonphysical singularities near the physical region. We show how to eliminate such singularities by using dispersion relations and also show how to reproduce unitarity relations by taking into account all relevant open channels.