Toward the existence of the odderon as a three-gluon bound state

Inspired by the evidence of odderon exchange recently observed D0 and TOTEM Collaborations, a quantum chromodynamics (QCD) sum rule investigation is performed to study as three-gluon bound state. There may exist six lowest-lying odderons with numbers ${J}^{PC}=1/2/{3}^{\ifmmode\pm\else\textpm\fi{}\ensuremath{-}}$. We systematically construct their interpolating currents, calculate mass spectra. To verify existence, we propose search for spin-3 in $VVV$ $VVP$ decay channels directly at LHC, $V$ $P$ light vector pseudoscalar mesons respectively.