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Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
Fernando Romero-López, Stephen R. Sharpe, Tyler D. Blanton +2
In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case t…
three-pion scattering amplitude from lattice QCD
Tyler D. Blanton, Fernando Romero-López, Stephen R. Sharpe
We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass MeV in Ref. [1]. Using the relativist…
On the Equivalence of Three-Particle Scattering Formalisms
A. W. Jackura, S. M. Dawid, C. Fernández-Ramírez +5
In recent years, different on-shell scattering formalisms have been proposed to be applied to both lattice QCD and infinite volume scattering processes. W…
Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
Raúl A. Briceño, Maxwell T. Hansen, Stephen R. Sharpe +1
In a previous publication, two of us derived a relation between the scattering amplitude of three identical bosons, , and a real function referred to as the {divergen…
Opportunities for lattice QCD in quark and lepton flavor physics
Christoph Lehner, Stefan Meinel, Tom Blum +8
This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD in quark and lepton flavor physics. New data generated…
Implementing the three-particle quantization condition including higher partial waves
Tyler D. Blanton, Fernando Romero-López, Stephen R. Sharpe
We present an implementation of the relativistic three-particle quantization condition including both - and -wave two-particle channels. For this, we develop a systematic exp…