Production Rate of Glueball-like $X(2370)$ in $J/ψ$ Radiative Decay
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910187273584640 |
|---|---|
| author | Chen, Ying Gui, Long-Cheng Li, Geng Sun, Wei |
| author_facet | Chen, Ying Gui, Long-Cheng Li, Geng Sun, Wei |
| contents | $X(2370)$ falls in the mass region of the lowest pseudoscalar glueball predicted by lattice QCD studies and its decay properties are similar to those of $η_c$. A previous lattice QCD study finds that the pseudoscalar glueball ($G_{0^-}$) and the lowest pseudoscalar charmonium ($c\bar{c}(0^-)$) can mix with a small mixing angle $\sinθ$. It is therefore possible that $X(2370)$ and $η_c$ are admixtures of $G_{0^-}$ and $c\bar{c}(0^-)$. In this picture, although $\mathrm{Br}(J/ψ\toγη_c)$ is insensitive to the small $\sinθ$, $\mathrm{Br}(J/ψ\to γX(2370))$ can be enlarged drastically by the mixing due to the much larger kinematic factor for $J/ψ\to γX(2370)$ and the much larger transition form factor for $J/ψ\to γ(c\bar{c}(0^{-}))$. Depending on the value of $\sinθ$, $\mathrm{Br}(J/ψ\to γX(2370))$ can be much larger than that of the pure pseudoscalar glueball, namely, $2.3(8)\times 10^{-4}$ that is predicted by a quenched lattice QCD calculation. Present results by BESIII favor a small mixing angle of $\mathcal{O}(1^\circ)$, which can be further constrained by more measurements of $X(2370)$ decays if the mixing picture applies here. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01757 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Production Rate of Glueball-like $X(2370)$ in $J/ψ$ Radiative Decay Chen, Ying Gui, Long-Cheng Li, Geng Sun, Wei High Energy Physics - Phenomenology High Energy Physics - Lattice $X(2370)$ falls in the mass region of the lowest pseudoscalar glueball predicted by lattice QCD studies and its decay properties are similar to those of $η_c$. A previous lattice QCD study finds that the pseudoscalar glueball ($G_{0^-}$) and the lowest pseudoscalar charmonium ($c\bar{c}(0^-)$) can mix with a small mixing angle $\sinθ$. It is therefore possible that $X(2370)$ and $η_c$ are admixtures of $G_{0^-}$ and $c\bar{c}(0^-)$. In this picture, although $\mathrm{Br}(J/ψ\toγη_c)$ is insensitive to the small $\sinθ$, $\mathrm{Br}(J/ψ\to γX(2370))$ can be enlarged drastically by the mixing due to the much larger kinematic factor for $J/ψ\to γX(2370)$ and the much larger transition form factor for $J/ψ\to γ(c\bar{c}(0^{-}))$. Depending on the value of $\sinθ$, $\mathrm{Br}(J/ψ\to γX(2370))$ can be much larger than that of the pure pseudoscalar glueball, namely, $2.3(8)\times 10^{-4}$ that is predicted by a quenched lattice QCD calculation. Present results by BESIII favor a small mixing angle of $\mathcal{O}(1^\circ)$, which can be further constrained by more measurements of $X(2370)$ decays if the mixing picture applies here. |
| title | Production Rate of Glueball-like $X(2370)$ in $J/ψ$ Radiative Decay |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2605.01757 |