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RESEARCH PRODUCT
Progress in three-particle scattering from LQCD
Stephen R. SharpeMaxwell T. HansenRaúl A. Briceñosubject
Physics010308 nuclear & particles physicsScatteringFormalism (philosophy)PhysicsQC1-999High Energy Physics - Lattice (hep-lat)FOS: Physical sciencesObservableLattice QCD01 natural sciencesResonance (particle physics)Scattering amplitudeTheoretical physicsHigh Energy Physics - Lattice0103 physical sciencesBound stateQuantum field theory010306 general physicsdescription
We present the status of our formalism for extracting three-particle scattering observables from lattice QCD (LQCD). The method relies on relating the discrete finite-volume 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | EPJ Web of Conferences |