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Hadronic decay of a vector meson from the lattice

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arxiv hep-lat/0212020 v2 pith:VEVSCLG7 submitted 2002-12-13 hep-lat

UKQCD Collaboration: C. McNeile , C. Michael This is my paper · ORCID
classification hep-lat
keywords decayfindamplitudeexplorelatticemesonpionquark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We explore the decay of a vector meson to two pseudoscalar mesons on the lattice with $N_f=2$ flavours of sea quark. Although we are working with quark masses that do not allow a physical decay, we show how the transition rate can be evaluated from the amplitude for $\rho \to \pi \pi$ and from the annihilation component of $\pi \pi \to \pi \pi$. We explore the decay amplitude for two different pion momenta and find consistent results. The coupling strength we find is in agreement with experiment. We also find evidence for a shift in the $\rho$ mass caused by mixing with two pion states.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral parameters of the $\rho$ resonance from lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    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.

  2. The hadronic decay of vector charmonium

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The authors extract the psi(3770) to D Dbar hadronic mixing and a decay width compatible with experiment using a narrow-width ratio method on two CLS ensembles.

  3. Hadronic decay of vector charmonium from the lattice

    hep-lat 2024-11 conditional novelty 6.0 of 10

    The ratio method, tuned with twisted boundary conditions, extracts a psi(3770) -> D D mixing amplitude from two N_f=2 ensembles and gives Gamma = 24.2(6.4) MeV, but with unquantified systematic errors.

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