Progress in three-particle scattering from LQCD

¹ Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, VA, 23606, USA
² Institut für Kernphysik and Helmholz Institute Mainz, University of Mainz, 55099 Mainz, Germany
³ Physics Department, University of Washington, Seattle, WA, 98195, USA

^a Speaker, e-mail: hansen@kph.uni-mainz.de

Published online: 22 March 2017

Abstract

We present the status of our formalism for extracting three-particle scattering observables from lattice QCD (LQCD). The method relies on relating the discrete finitevolume energy spectrum of a quantum field theory with its scattering amplitudes. As the finite-volume spectrum can be directly determined in LQCD, this provides a method for determining scattering observables, and associated resonance properties, from the underlying theory. In a pair of papers published over the last two years, two of us have extended this approach to apply to relativistic three-particle scattering states. In this talk we summarize recent progress in checking and further extending this result. We describe an extension of the formalism to include systems in which two-to-three transitions can occur. We then present a check of the previously published formalism, in which we reproduce the known finite-volume energy shift of a three-particle bound state.