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Three-body interactions from the finite-volume QCD spectrum

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arxiv 2101.06144 v2 pith:NWWEHWNN submitted 2021-01-15 hep-lat hep-phnucl-th

Ruairí Brett , Chris Culver , Maxim Mai , Andrei Alexandru , Michael Döring , Frank X. Lee This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords massspectrumthree-bodyenergyfinite-volumepionamplitudechpt
verification ladder T0 review T1 audit T2 compute T3 formal
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We perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315 MeV and 220 MeV pion mass in two-flavor QCD. For the heavier pion mass we find that the data is consistent with a constant contact term close to zero, whereas for the lighter mass we see a statistically significant energy dependence in tension with the prediction of leading order ChPT. Our results also suggest that with enough three-body energy levels, the two-body amplitude could be constrained.

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Cited by 2 Pith papers

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

  1. Emergence of the $\pi(1300)$ Resonance from Lattice QCD

    hep-lat 2025-10 conditional novelty 8.0 of 10

    Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.

  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.

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