Coupled ππ,KKˉ\pi\pi, K\bar{K} scattering in PP-wave and the ρ\rho resonance from lattice QCD

Jul 9, 2015
14 pages
Published in:
  • Phys.Rev.D 92 (2015) 9, 094502
  • Published: Nov 2, 2015
e-Print:
Report number:
  • DAMTP-2015-34,
  • JLAB-THY-15-2101

Citations per year

20152018202120242025010203040
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