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ω Meson from Lattice QCD.

Haobo Yan1,2, Maxim Mai2,3,4, Marco Garofalo2

  • 1School of Physics, <a href="https://ror.org/02v51f717">Peking University</a>, Beijing 100871, China.

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This study presents the first lattice QCD calculation of the omega (ω) meson

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics (QCD)
  • Hadron Spectroscopy

Background:

  • Many excited hadron states decay into three-hadron final states.
  • Understanding these states from first principles Quantum Chromodynamics (QCD) is crucial.
  • This requires lattice QCD calculations and advanced three-body formalisms.

Purpose of the Study:

  • To perform the first lattice QCD calculation of the omega (ω) meson resonance parameters.
  • To update the theoretical formalism by matching to effective field theories.
  • To determine the pole position and estimate the ω-ρ mass difference.

Main Methods:

  • Utilizing lattice QCD with one-, two-, and three-meson interpolators.
  • Employing a reliable three-body formalism to connect finite-volume spectra to scattering amplitudes.
  • Matching the formalism to effective field theories for improved accuracy.

Main Results:

  • The first calculation of the omega (ω) meson pole position from lattice QCD.
  • The calculated pole position is $\sqrt{s_ω} = (778.0(11.2) - i3.0(5))\text{ MeV}$, showing good agreement with experimental values.
  • An estimated ω-ρ mass difference of 29(15) MeV was obtained.

Conclusions:

  • This work provides a significant step towards understanding three-hadron final states from first principles.
  • The results validate the lattice QCD approach for determining resonance parameters.
  • Future studies can build upon this formalism to investigate other hadronic resonances.