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Coupled-channel approach to isotensor πππ scattering from lattice QCD

Yuchuan Feng1,*, Chris Culver2,†, Michael Döring1,3,‡, Maxim Mai4,1,§, Andrei Alexandru1,5,∥, and Frank X. Lee1,¶

  • *Contact author: fengyuchuan@gwmail.gwu.edu
  • †Contact author: chris.a.culver@gmail.com
  • ‡Contact author: doring@gwu.edu
  • §Contact author: maxim.mai@faculty.unibe.ch
  • ∥Contact author: aalexan@gwu.edu
  • Contact author: fxlee@gwu.edu
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Phys. Rev. D 114, 034506 – Published 11 August, 2026

DOI: https://doi.org/10.1103/dbm5-w8wx

Abstract

The quest to understand three-body dynamics from first-principle QCD includes the study of nonresonant and resonant systems. The isospin I=2 system is of particular interest having no three-body resonance but featuring a resonance in a subchannel, while also being a coupled-channel problem. In this study, we calculate the finite-volume spectrum from lattice QCD at two different pion masses, map the amplitude to the infinite volume through a generalized Finite-Volume Unitarity three-body quantization condition, investigate the limit of a narrow ρ, and compare with an effective Lagrangian prediction at leading order. Chiral extrapolations between different pion masses are performed.

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Phys. Rev. D 114, 034506– Published 11 August, 2026
  • Received 4 February 2026
  • Accepted 17 July 2026
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