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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 7 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.

  5. 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.

  6. Deep Neural Network Driven Simulation Based Inference Method for Pole Position Estimation under Model Misspecification

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Simulation-based inference trained on synthetic scattering data yields rho(770) pole estimates closer to reference values than chi-squared minimization in the tested misspecification cases.

  7. 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.

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