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Two- and three-meson scattering amplitudes with physical quark masses from lattice QCD

https://doi.org/10.1103/bx16-lp3r

Dawid, Sebastian M; Draper, Zachary T; Hanlon, Andrew D; Hörz, Ben; Morningstar, Colin; Romero-López, Fernando; Sharpe, Stephen R; Skinner, Sarah (July 2025, Physical Review D)

We study systems of two and three mesons composed of pions and kaons at maximal isospin using four CLS ensembles with $a \approx 0.063 fm$ , 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 $s$ wave, but also $p$ and $d$ waves. By solving the three-body integral equations, we determine, for the first time, the physical-point scattering amplitudes for $3 π^{+}$ , $3 K^{+}$ , $π^{+} π^{+} K^{+}$ , and $K^{+} K^{+} π^{+}$ systems. These are determined for total angular momentum $J^{P} = 0^{-}$ , $1^{+}$ , and $2^{-}$ . We also obtain accurate results for $2 π^{+}$ , $π^{+} K^{+}$ , and $2 K^{+}$ phase shifts. We compare our results to chiral perturbation theory and to phenomenological fits.
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Free, publicly-accessible full text available July 1, 2026
QCD Predictions for Physical Multimeson Scattering Amplitudes

https://doi.org/10.1103/6nql-yrhw

Dawid, Sebastian M; Draper, Zachary T; Hanlon, Andrew D; Hörz, Ben; Morningstar, Colin; Romero-López, Fernando; Sharpe, Stephen R; Skinner, Sarah (July 2025, Physical Review Letters)

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 $π^{+} K^{+}$ and $2 K^{+}$ 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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Free, publicly-accessible full text available July 1, 2026
Novel approaches in hadron spectroscopy

https://doi.org/10.1016/j.ppnp.2022.103981

Albaladejo, Miguel; Bibrzycki, Łukasz; Dawid, Sebastian M.; Fernández-Ramírez, César; Gonzàlez-Solís, Sergi; Blin, Astrid N.; Jackura, Andrew W.; Mathieu, Vincent; Mikhasenko, Mikhail; Mokeev, Victor I.; et al (November 2022, Progress in Particle and Nuclear Physics)

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