Tetraquark operators in lattice QCD and exotic flavour states in the charm sector

Sep 5, 2017
31 pages
Published in:
  • JHEP 11 (2017) 033
  • Published: Nov 8, 2017
e-Print:
Report number:
  • DAMTP-2017-33,
  • JLAB-THY-17-2541

Citations per year

20172019202120232025051015
Abstract: (Springer)
We present a general class of operators resembling compact tetraquarks which have a range of colour-flavour-spin structures, transform irreducibly under the symmetries of the lattice and respect other relevant symmetries. These constructions are demonstrated in lattice QCD calculations with light quarks corresponding to mπ_{π} = 391 MeV. Using the distillation framework, correlation functions involving large bases of meson-meson and tetraquark operators are computed in the isospin-1 hidden-charm and doubly-charmed sectors, and finite-volume spectra are extracted with the variational method. We find the spectra are insensitive to the addition of tetraquark operators to the bases of meson-meson operators. For the first time, through using diverse bases of meson-meson operators, the multiple energy levels associated with meson-meson levels which would be degenerate in the non-interacting limit are extracted reliably. The number of energy levels in each spectrum is found to be equal to the number of expected non-interacting meson-meson levels in the energy region considered and the majority of energies lie close to the non-interacting levels. Therefore, there is no strong indication for any bound state or narrow resonance in the channels we study.
Note:
  • 31 pages, 9 figures, minor changes to reflect published version
  • Lattice field theory simulation
  • QCD Phenomenology
  • quark: operator
  • meson: operator
  • symmetry: lattice
  • tetraquark
  • quantum chromodynamics
  • lattice field theory
  • numerical calculations
  • quark: Wilson