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Three-body unitarity versus finite-volume $\pi^+\pi^+\pi^+$ spectrum from lattice QCD

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arxiv 1909.05749 v1 pith:BV4RQ4CA submitted 2019-09-12 hep-lat nucl-th

M. Mai , M. Döring , C. Culver , A. Alexandru This is my paper · ORCID
classification hep-latnucl-th
keywords three-bodylatticedynamicsfinite-volumespectrumsystemsunitarityab-initio
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Strong three-body interactions above threshold govern the dynamics of many exotics and conventional excited mesons and baryons. Three-body finite-volume energies calculated from lattice QCD promise an ab-initio understanding of these systems. We calculate the three-$\pi^+$ spectrum unraveling the three-body dynamics that is tightly intertwined with the $S$-matrix principle of three-body unitarity and compare it with recent lattice QCD results. For this purpose, we develop a formalism for three-body systems in moving frames and apply it numerically.

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Cited by 4 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. Higher order quantization conditions for two-body scattering with spin

    hep-lat 2026-02 accept novelty 7.0 of 10

    Higher-order finite-volume quantization conditions for spin-1/2 + spin-0 scattering are derived to J=11/2 and numerically checked to agree with independent box spectra to six significant figures.

  3. 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.

  4. Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections

    hep-lat 2025-06 conditional novelty 6.0 of 10

    By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.

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