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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.06440 |
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Table of Contents:
- In this study, we analyze the cross-section data from the $e^+e^-\to γJ/ψω$ process to explore both short-distance and long-distance interactions for the radiative transition $Y(4200)\to γX(3872)$. We investigate the short-distance effects through the E1 transition among the $c\bar{c}$ components, and the long-distance effects via hadronic loop diagrams. Our numerical analysis reveals that short-distance interactions play a significantly larger role in the radiative transition than that of the long-distance interactions. This finding underscores the importance of the compact $c\bar{c}$ components in both the initial and final states for accurately understanding the cross-section $σ[e^+e^-\to γJ/ψω]$. Furthermore, with the help of relative branch ratio $\mathcal{R}$ we estimate the $Γ[Y(4200)\toγX(3872)]$ implied in the the experimental study. Finally, we also discuss the possible existence of $ψ(4040)$ signal within the cross-section data.