  We have used standard techniques of lattice quantum chromodynamics to look
for evidence of the spin-zero six quark flavour singlet state ($J^{PC}=0^{-+}$)
observed by BES Collaboration, and to determine the splitting between the mass
of the possible proton-antiproton and the mass of two protons, its threshold.
Using the various interpolating fields we find indications that for
sufficiently light quarks proton-antiproton is slightly above the $2m_{p}$
threshold. The lattice resonance signal of binding observed near the physical
and continuum regimes do not support the existence of proton-antiproton state
as a spin-zero hexaquark state.
