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$\omega$ meson from lattice QCD
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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 $\omega$ 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 $\omega$ meson at $\sqrt{s_\omega}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $\omega-\rho$ mass difference as $29(15)\,\mathrm{MeV}$.
Forward citations
Cited by 10 Pith papers
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Emergence of the $\pi(1300)$ Resonance from Lattice QCD
Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.
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Thermoparticle states are used to generalize the two-particle finite-volume quantization condition to finite temperature, keeping the kinematic function finite at all real energies and opening a route to thermal reson...
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Lattice QCD study of $\Lambda_c \Lambda_c$ scattering
The first lattice QCD study of Lambda_c Lambda_c scattering finds a repulsive interaction with scattering length a0 = -0.21(4)(8) fm.
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The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach
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.
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Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$
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.
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Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD
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.
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Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results
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Spectral parameters of the $\rho$ resonance from lattice QCD
Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.
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A pedagogical review of S-matrix theory and amplitude parametrizations for defining and extracting resonance parameters in hadron spectroscopy.
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