Document Type

Article

Publication Date

2021

DOI

10.1103/PhysRevLett.126.012001

Publication Title

Physical Review Letters

Volume

126

Issue

1

Pages

7 pp.

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. To fully implement the latter, we also 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.

Comments

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license.

Original Publication Citation

Hansen, M. T., Briceño, R. A., Edwards, R. G., Thomas, C. E., & Wilson, D. J. (2021). Energy-dependent π⁺π⁺π⁺ scattering amplitude from QCD. Physical Review Letters, 126(1), 7 pp., Article 012001. https://doi.org/10.1103/PhysRevLett.126.012001

ORCID

0000-0003-1109-1473 (Briceño)

Download

Share

COinS