Studying three-particle systems with non-zero angular momentum via lattice QCD: Part 2

Having laid out the necessary formalism for studying three-particle systems with arbitrary angular momentum via lattice QCD, in this talk we present a nontrivial test of this formalism. For this, we construct a toy model for the Isospin = 2 three-pion system. This has a P-wave two-particle subsystem, which can couple to the rho. We investigate a range of parameter space for this model, and focus on parameters for which the rho is stable. In this simple limit, we present numerical evidence for the consistency of the solutions of the integral equations describing the infinite-volume amplitudes and the spectra obtained when placing the theory in a finite volume. This provides empirical evidence of the readiness to perform lattice QCD calculations of such systems.