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Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD

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arxiv 2107.03973 v1 pith:5JQP2TWC submitted 2021-07-08 hep-lat hep-phnucl-th

Maxim Mai , Andrei Alexandru , Ruairí Brett , Chris Culver , Michael Döring , Frank X. Lee , Daniel Sadasivan This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords three-bodydynamicsresonancelatticeab-initioalongbranchingcalculated
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Resonant hadronic systems often exhibit a complicated decay pattern in which three-body dynamics play a relevant or even dominant role. In this work we focus on the $a_1(1260)$ resonance. For the first time, the pole position and branching ratios of a three-body resonance are calculated from lattice QCD using one-, two-, and three-meson interpolators and a three-body finite-volume formalism extended to spin and coupled channels. This marks a new milestone for ab-initio studies of ordinary resonances along with hybrid and exotic hadrons involving three-body dynamics.

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Forward citations

Cited by 6 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. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 unverdicted novelty 6.5 of 10

    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

  4. 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.

  5. 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.

  6. Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...

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