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Title The energy-dependent p+p+p+ scattering amplitude from QCD
Authors Raul Briceno, Robert Edwards, Maxwell Hansen, David Wilson, Christopher Thomas
JLAB number JLAB-THY-20-3242
LANL number arXiv:2009.04931
Other number DOE/OR/23177-5056
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review Letters
Volume 126
Page(s) 012001
Refereed
Publication Abstract: Focusing on three-pion states with maximal isospin (?+?+?+), we present the first non-perturbative 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 structures and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevLett.126.012001
Accepted Manuscript: PhysRevLett.126.012001.pdf
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