Tentative estimates of $\mathcal{B}(X(3872)\toπ^0π^0χ_{c1})$ and $\mathcal{B}(X(3872)\toπ^+π^-χ_{c1})$
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916334754856960 |
|---|---|
| author | Achasov, N. N. Shestakov, G. N. |
| author_facet | Achasov, N. N. Shestakov, G. N. |
| contents | The rates of the $X(3872)\toπ^0π^0χ_{c1}$ and $X(3872)\to π^+π^-χ_{c1}$ decays are estimated in the model of the triangle loop diagrams with charmed $D^*\bar DD$ and $\bar D^*D\bar D$ mesons in the loops. There are the triangle logarithmic singularities in the physical region of the $X(3872)\toπ^0π^0 χ_{c1}$ decay which manifest themselves as narrow peaks in the $π^0χ_{c1}$ mass spectrum near the $D^0\bar D^0$ threshold. The model predicts approximately the same branching fractions of the $X(3872)\toπ^0π^0 χ_{c1}$ and $X(3872)\toπ^+π^-χ_{c1}$ decays at the level of about (0.8-1.7)$\times10^{-4}$. A distinct prediction of the model is the value of the ratio $\mathcal{R}= \mathcal{B}(X(3872)\toπ^+π^-χ_{c1})/\mathcal{B}(X(3872) \toπ^0π^0χ_{c1})\approx1.1$. It weakly depends on the $X(3872)$ resonance parameters and indicates a significant violation of the isotopic symmetry according to which one would expect $\mathcal{R}=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tentative estimates of $\mathcal{B}(X(3872)\toπ^0π^0χ_{c1})$ and $\mathcal{B}(X(3872)\toπ^+π^-χ_{c1})$ Achasov, N. N. Shestakov, G. N. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory The rates of the $X(3872)\toπ^0π^0χ_{c1}$ and $X(3872)\to π^+π^-χ_{c1}$ decays are estimated in the model of the triangle loop diagrams with charmed $D^*\bar DD$ and $\bar D^*D\bar D$ mesons in the loops. There are the triangle logarithmic singularities in the physical region of the $X(3872)\toπ^0π^0 χ_{c1}$ decay which manifest themselves as narrow peaks in the $π^0χ_{c1}$ mass spectrum near the $D^0\bar D^0$ threshold. The model predicts approximately the same branching fractions of the $X(3872)\toπ^0π^0 χ_{c1}$ and $X(3872)\toπ^+π^-χ_{c1}$ decays at the level of about (0.8-1.7)$\times10^{-4}$. A distinct prediction of the model is the value of the ratio $\mathcal{R}= \mathcal{B}(X(3872)\toπ^+π^-χ_{c1})/\mathcal{B}(X(3872) \toπ^0π^0χ_{c1})\approx1.1$. It weakly depends on the $X(3872)$ resonance parameters and indicates a significant violation of the isotopic symmetry according to which one would expect $\mathcal{R}=2$. |
| title | Tentative estimates of $\mathcal{B}(X(3872)\toπ^0π^0χ_{c1})$ and $\mathcal{B}(X(3872)\toπ^+π^-χ_{c1})$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2405.09228 |