Fierz analyses on the decay properties of two- and three-gluon glueballs
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914305496055808 |
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| author | Tan, Wei-Han Chen, Hua-Xing |
| author_facet | Tan, Wei-Han Chen, Hua-Xing |
| contents | 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. In this Letter we apply this method to calculate the relative branching ratios of two-gluon glueballs with $J^{PC} = 0^{++}/0^{-+}$ and three-gluon glueballs with $J^{PC} = 0^{++}/1^{+-}$. In total, we derive nearly one hundred ratios for these glueballs. Our results suggest that the $f_0(1710)$ and $η(2370)$ likely contain a significant gluon component, whereas the gluon component in $f_0(1500)$ appears to be small. Furthermore, we propose observing the three-gluon glueball with $J^{PC} = 0^{++}$ in the $ππω$ and $K\bar{K}ϕ$ channels, and the three-gluon glueball with $J^{PC} = 1^{+-}$ in the $ππω$, $ππϕ$, and $K\bar{K}ϕ$ channels. This study enhances our understanding of the gluonic structure of exotic hadrons and will assist future experimental searches in high-energy physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04520 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fierz analyses on the decay properties of two- and three-gluon glueballs Tan, Wei-Han Chen, Hua-Xing High Energy Physics - Phenomenology 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. In this Letter we apply this method to calculate the relative branching ratios of two-gluon glueballs with $J^{PC} = 0^{++}/0^{-+}$ and three-gluon glueballs with $J^{PC} = 0^{++}/1^{+-}$. In total, we derive nearly one hundred ratios for these glueballs. Our results suggest that the $f_0(1710)$ and $η(2370)$ likely contain a significant gluon component, whereas the gluon component in $f_0(1500)$ appears to be small. Furthermore, we propose observing the three-gluon glueball with $J^{PC} = 0^{++}$ in the $ππω$ and $K\bar{K}ϕ$ channels, and the three-gluon glueball with $J^{PC} = 1^{+-}$ in the $ππω$, $ππϕ$, and $K\bar{K}ϕ$ channels. This study enhances our understanding of the gluonic structure of exotic hadrons and will assist future experimental searches in high-energy physics. |
| title | Fierz analyses on the decay properties of two- and three-gluon glueballs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.04520 |