EPJ Web Conf.
Volume 137, 2017XIIth Quark Confinement and the Hadron Spectrum
|Number of page(s)||9|
|Section||Section B: Light Quarks|
|Published online||22 March 2017|
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: email@example.com
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
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