Mass Spectra of $0^{+-}$, $1^{-+}$, and $2^{+-}$ Exotic Glueballs

TL;DR

This study predicts the masses of certain exotic glueballs with unconventional quantum numbers using QCD sum rules, identifying stable states and potential experimental detection channels.

Contribution

It provides the first mass predictions for $0^{+-}$ and $2^{+-}$ oddballs, including stability analysis, within the QCD sum rules framework.

Findings

Identifies a stable $0^{+-}$ glueball at 4.57 GeV.

Finds a stable $2^{+-}$ glueball at 6.06 GeV.

No stable $1^{-+}$ oddball detected.

Abstract

With appropriate interpolating currents the mass spectra of $0^{+-}$, $1^{-+}$, and $2^{+-}$ oddballs are studied in the framework of QCD sum rules (QCDSR). We find there exits one stable $0^{+-}$ oddball with mass of $4.57 \pm 0.13 \, \text{GeV}$, and one stable $2^{+-}$ oddball with mass of $6.06 \pm 0.13 \, \text{GeV}$, whereas, no stable $1^{-+}$ oddball shows up. The possible production and decay modes of these glueballs with unconventional quantum numbers are analyzed, which are hopefully measurable in either BELLEII, PANDA, Super-B or LHCb experiments.