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arXiv · 2407.16659

$ω$ meson from lattice QCD

Haobo Yan·Maxim Mai·Marco Garofalo·Ulf-G. Meißner·Chuan Liu·Liuming Liu·Carsten Urbach
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Abstract

Many excited states in the hadron spectrum have large branching ratios to three-hadron final states. Understanding such particles from first principles QCD requires input from lattice QCD with one-, two-, and three-meson interpolators as well as a reliable three-body formalism relating finite-volume spectra at unphysical pion mass values to the scattering amplitudes at the physical point. In this work, we provide the first-ever calculation of the resonance parameters of the $ω$ meson from lattice QCD, including an update of the formalism through matching to effective field theories. The main result of this pioneering study, the pole position of the $ω$ meson at $\sqrt{s_ω}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $ω-ρ$ mass difference as $29(15)\,\mathrm{MeV}$.

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Haobo Yan, Maxim Mai, Marco Garofalo, Ulf-G. Meißner, Chuan Liu, Liuming Liu, Carsten Urbach. 2024-11-23. $ω$ meson from lattice QCD. https://doi.org/10.1103/physrevlett.133.211906

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