Energy-Dependent π^{+}π^{+}π^{+} Scattering Amplitude from QCD.
Accepted version
Peer-reviewed
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Authors
Hansen, Maxwell T
Briceño, Raul A
Edwards, Robert G
Thomas, Christopher E
Wilson, David J
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.
Description
Keywords
Hadron Spectrum Collaboration
Journal Title
Phys Rev Lett
Conference Name
Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
126
Publisher
American Physical Society (APS)
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All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)
STFC (ST/T000694/1)