image in lattice QCD Original Research Article

We present a search for the possible image tetraquark state with image quark content in quenched improved anisotropic lattice QCD. Using various local and non-local interpolating fields we determine the energies of ground-state and second ground state using variational method. The state is found to be consistent with two-particle scattering state, which is checked to exhibit the expected volume dependence of the spectral weights. In the physical limit, we obtain for the ground state, a mass of image which is higher than the mass of experimentally observed image. The lattice resonance signal obtained in the physical region does not support a localized image tetraquark state in the pion mass region of image. We conclude that the 4q system in question appears as a two-particle scattering state in the quark mass region explored here.