Coupled scattering in -wave and the resonance from lattice QCD
Jul 9, 2015
14 pages
Published in:
- Phys.Rev.D 92 (2015) 9, 094502
- Published: Nov 2, 2015
e-Print:
- 1507.02599 [hep-ph]
Report number:
- DAMTP-2015-34,
- JLAB-THY-15-2101
Citations per year
Abstract: (APS)
We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in P wave, by calculating correlation functions using lattice QCD with light quark masses such that mπ=236 MeV in a cubic volume of ∼(4 fm)3. Variational analyses of large matrices of correlation functions computed using operator constructions resembling ππ, KK¯ and qq¯, in several moving frames and several lattice irreducible representations, lead to discrete energy spectra from which scattering amplitudes are extracted. In the elastic ππ scattering region we obtain a detailed energy dependence for the phase shift, corresponding to a ρ resonance, and we extend the analysis into the coupled-channel KK¯ region for the first time, finding a small coupling between the channels.Note:
- matches published version, minor typos corrected
- 12.38.Gc
- 14.40.Be
- 13.75.Lb
- meson meson: scattering
- pi pi: scattering
- K anti-K: scattering
- scattering amplitude
- quantum chromodynamics
- lattice field theory
- coupled channel
References(45)
Figures(17)
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