https://doi.org/10.1051/epjconf/201713705004
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
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.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
