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I=3 Three-Pion Scattering Amplitude from Lattice QCD

AuthorsBlanton, T.D.; Romero-López, F.; Sharpe, Stephen R.
Issue DateJan-2020
PublisherAmerican Physical Society
CitationPhysical Review Letters 124: 032001 (2020)
AbstractWe analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass M≈200 MeV in Hörz and Hanlon, [Phys. Rev. Lett. 123, 142002 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.142002]. Using the relativistic three-particle quantization condition, we find ∼2σ evidence for a nonzero value for the contact part of the 3π+ (I=3) scattering amplitude. We also compare our results to leading-order chiral perturbation theory. We find good agreement at threshold and some tension in the energy dependent part of the 3π+ scattering amplitude. We also find that the 2π+ (I=2) spectrum is fit well by an s-wave phase shift that incorporates the expected Adler zero.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.124.032001
Identifiersdoi: 10.1103/PhysRevLett.124.032001
issn: 1079-7114
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