Formula omitted] in lattice QCD

Abstract

We present a search for the possible I ( J P ) = 0 ( 2 + ) tetraquark state with s s s ¯ s ¯ 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 2123 ( 33 ) ( 58 ) MeV which is higher than the mass of experimentally observed f ( 2010 ) . The lattice resonance signal obtained in the physical region does not support a localized J P = 2 + tetraquark state in the pion mass region of 300 – 800 MeV . We conclude that the 4 q system in question appears as a two-particle scattering state in the quark mass region explored here.