We study systems of two and three mesons composed of pions and kaons at maximal isospin using four CLS ensembles with , including one with approximately physical quark masses. Using the stochastic Laplacian-Heaviside method, we determine the energy spectrum of these systems including many levels in different momentum frames and irreducible representations. Using the relativistic two- and three-body finite-volume formalism, we constrain the two- and three-meson K matrices, including not only the leading wave, but also and waves. By solving the three-body integral equations, we determine, for the first time, the physical-point scattering amplitudes for , , , and systems. These are determined for total angular momentum , , and . We also obtain accurate results for , , and phase shifts. We compare our results to chiral perturbation theory and to phenomenological fits.
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This content will become publicly available on July 1, 2026
QCD Predictions for Physical Multimeson Scattering Amplitudes
We use lattice QCD calculations of the finite-volume spectra of systems of two and three mesons to determine, for the first time, three-particle scattering amplitudes with physical quark masses. Our results are for combinations of π+ and K+, at a lattice spacing a=0.063 fm, and in the isospin-symmetric limit. We also obtain accurate results for maximal-isospin two-meson amplitudes, with those for and being the first determinations at the physical point. Dense lattice spectra are obtained using the stochastic Laplacian-Heaviside method, and the analysis leading to scattering amplitudes is done using the relativistic finite-volume formalism. Results are compared to chiral perturbation theory and to phenomenological fits to experimental data, finding good agreement.
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- PAR ID:
- 10630734
- Publisher / Repository:
- American Physical Society
- Date Published:
- Journal Name:
- Physical Review Letters
- Volume:
- 135
- Issue:
- 2
- ISSN:
- 0031-9007
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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