Pith. sign in

REVIEW 5 cited by

The energy-dependent $\pi^+ \pi^+ \pi^+$ scattering amplitude from QCD

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2009.04931 v2 pith:V63VWSXI submitted 2020-09-10 hep-lat hep-ph

Maxwell T. Hansen , Raul A. Briceño , Robert G. Edwards , Christopher E. Thomas , David J. Wilson This is my paper · ORCID
classification hep-lathep-ph
keywords amplitudescatteringthree-hadronenergy-dependentfinite-volumeanalyticcalculationcombines
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

Focusing on three-pion states with maximal isospin ($\pi^+\pi^+\pi^+$), 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 structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.

  2. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0 of 10

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.

  3. Symmetrizing relativistic three-body partial wave amplitudes

    hep-ph 2025-07 unverdicted novelty 6.0 of 10

    The authors derive spectator-symmetric three-body partial wave amplitudes using new recoupling coefficients for arbitrary angular momentum and isospin, and demonstrate them with 3π Dalitz distributions.

  4. Toward extracting scattering phase shift from integrated correlation functions III: coupled-channels

    hep-lat 2024-12 conditional novelty 6.0 of 10

    For coupled-channel systems, the trapped integrated correlation function difference converges to a weighted integral over the sum of the two channel phase shifts, independent of inelasticity.

  5. Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins

    hep-lat 2024-12 conditional novelty 5.0 of 10

    A numerical implementation of the RFT quantization condition yields finite-volume three-pion spectra for isospins 0, 1, and 2 with three-particle interactions turned off.

Pith tools