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Energy-Dependent $π^+π^+π^+$ Scattering Amplitude from QCD

Hansen, Maxwell T. (ORCID:0000000191848354)·Briceño, Raul A.·Edwards, Robert G. (ORCID:000000025667291X)·Thomas, Christopher E. (ORCID:0000000188174977)·Wilson, David J. (ORCID:0000000323641161)
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Abstract

Focusing on three-pion states with maximal isospin ($π^+π^+π^+$), we present the first nonperturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. Furthermore, to fully implement the latter, we solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS73 NUCLEAR PHYSICS AND RADIATION PHYSICS

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BibTeXRIS

Hansen, Maxwell T. (ORCID:0000000191848354), Briceño, Raul A., Edwards, Robert G. (ORCID:000000025667291X), Thomas, Christopher E. (ORCID:0000000188174977), Wilson, David J. (ORCID:0000000323641161). 2021-01-05. Energy-Dependent $π^+π^+π^+$ Scattering Amplitude from QCD. https://doi.org/10.1103/physrevlett.126.012001

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