We present a lattice QCD study of the ρ resonance with Nf = 2 + 1 clover fermions at a pion mass of approximately 320 MeV and lattice size 3.6 fm. We consider two processes involving the ρ. The first process is elastic scattering of two pions in P-wave with isospin 1. Using the Lüscher method we determine the scattering phase shift, from which we obtain the ρ resonance mass and decay width Γ(ρ → ππ). The second process is the radiative transition πγ → ππ, where we follow the Briceño-Hansen-Walker-Loud approach to determine the transition amplitude in the invariant mass region near the ρ resonance and for both space- and time-like photon momentum. This allows us to determine the coupling between the ρ, the pion and the photon, and the resulting ρ radiative decay width.
|Original language||English (US)|
|State||Published - Oct 3 2018|
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