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

TL;DR

This paper investigates the odderon as a three-gluon bound state using QCD sum rules, predicting its mass spectrum and proposing experimental searches at the LHC based on decay channels.

Contribution

It introduces a systematic QCD sum rule analysis of the odderon as a three-gluon state and suggests specific decay channels for experimental verification.

Findings

Identification of six lowest-lying three-gluon odderons with specific quantum numbers

Calculation of their mass spectra using QCD sum rules

Proposal for detecting spin-3 odderons at the LHC through decay channels

Abstract

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