Solutions to Three-Body Integral Equations

Understanding three body dynamics is important in modern hadron spectroscopy since many resonances strongly decay into three particles. Lattice QCD can provide a systematic way to study such systems, which connects short-distance interactions to scattering amplitudes through a set of integral equations. In this talk, we present a study of numerical solutions for these integral equations in a case where two of the particles form a bound state. We show a method for extrapolating the discrete approximation of these equations to their continuum limit. This study completes the toolset to determine three body interactions from lattice QCD.