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

Hansen, Maxwell T.; Briceño, Raul A.; Edwards, Robert G.; Thomas, Christopher E.; Wilson, David J.

doi:10.1103/PhysRevLett.126.012001

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

Journal Article · 04 January 2021 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.126.012001 · OSTI ID:1755787

; Briceño, Raul A.;

;

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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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC); Royal Society; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: AC05-00OR22725; AC02-05CH11231; SC0019229; AC05-06OR23177

OSTI ID:: 1755787

Report Number(s):: JLAB-THY--20-3242; DOE/OR/23177--5056; arXiv:2009.04931; 012001

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 126; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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