The rho-pi puzzle and vector glueball mixing
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912252107423744 |
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| author | Vereijken, Arthur |
| author_facet | Vereijken, Arthur |
| contents | The $ψ(3686)$ is identified as the radial excitation of the $J/ψ$. Based on perturbative QCD, the branching ratio of the $ψ(3686)$ into some final hadron state should be approximately 13% of the branching ratio of the $J/ψ$ to that same hadron final state. This is called the "13\% rule". However, certain decay channels such as the $ρπ$ severely violate this 13% rule. Using the extended Linear Sigma Model, we study the effect a small mixing angle between the $ψ(3686)$ and the vector glueball can have on the 13% rule. We show that in a simple model the mixing can already suppress $ψ(3686)$ decays sufficiently to match the $ρπ$ observation, but to fully describe the data a more sophisticated model is necessary. We also show that matching to data can tell us about the magnitude of glueball decay widths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The rho-pi puzzle and vector glueball mixing Vereijken, Arthur High Energy Physics - Phenomenology The $ψ(3686)$ is identified as the radial excitation of the $J/ψ$. Based on perturbative QCD, the branching ratio of the $ψ(3686)$ into some final hadron state should be approximately 13% of the branching ratio of the $J/ψ$ to that same hadron final state. This is called the "13\% rule". However, certain decay channels such as the $ρπ$ severely violate this 13% rule. Using the extended Linear Sigma Model, we study the effect a small mixing angle between the $ψ(3686)$ and the vector glueball can have on the 13% rule. We show that in a simple model the mixing can already suppress $ψ(3686)$ decays sufficiently to match the $ρπ$ observation, but to fully describe the data a more sophisticated model is necessary. We also show that matching to data can tell us about the magnitude of glueball decay widths. |
| title | The rho-pi puzzle and vector glueball mixing |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.21042 |