English

Hadronic transitions from the lattice

High Energy Physics - Lattice 2016-09-01 v1

Abstract

I discuss strategies to determine hadronic decay couplings from lattice studies. As a check of the methods, I explore the decay of a vector meson to two pseudoscalar mesons with Nf=2N_f=2 flavours of sea quark. Although we are working with quark masses that do not allow a physical decay, I show how the transition rate can be evaluated from the amplitude for ρππ\rho \to \pi \pi and from the annihilation component of ππππ\pi \pi \to \pi \pi. I explore the decay amplitude for two different pion momenta and find consistent results. The coupling strength found is in agreement with experiment. I also find evidence for a shift in the ρ\rho mass caused by mixing with two pion states. I also present results for the decay of a hybrid meson, for the case of heavy valence quarks.

Keywords

Cite

@article{arxiv.hep-lat/0310010,
  title  = {Hadronic transitions from the lattice},
  author = {Chris Michael},
  journal= {arXiv preprint arXiv:hep-lat/0310010},
  year   = {2016}
}

Comments

10 pages, 7 ps figures, proc LHP03, Cairns