Coupled-Channel DπD\pi, DηD\eta and DsKˉD_{s}\bar{K} Scattering from Lattice QCD

Jul 24, 2016
37 pages
Published in:
  • JHEP 10 (2016) 011
  • Published: Oct 4, 2016
e-Print:
Report number:
  • DAMTP-2016-48

Citations per year

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Abstract: (Springer)
We present the first lattice QCD study of coupled-channel Dπ, Dη and DsK {D}_s\overline{K} scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher’s method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at mπ_{π} ≈ 391 MeV, we find a pole corresponding to a JP^{P} = 0+^{+} near-threshold bound state with a large coupling to Dπ. We also find a deeply bound JP^{P} = 1^{−} state, and evidence for a JP^{P} = 2+^{+} narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.
  • Lattice field theory simulation
  • QCD Phenomenology
  • hadron hadron: scattering
  • charmed meson
  • isospin: 1/2
  • isospin: 3/2
  • scattering amplitude
  • quantum chromodynamics: lattice
  • coupled channel
  • correlation function