Theoretical study on the contributions of $\omega$ meson to the $X(3872) \to J/\psi\pi^+\pi^-$ and $J/\psi\pi^+\pi^-\pi^0$ decays
| Autor: | Wang, Hao-Nan, Wang, Qian, Xie, Ju-Jun |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.106.056022 |
| Popis: | With the newly measurements of $X(3872) \to J/\psi\pi^+\pi^-$ from LHCb Collaboration, in addition to the dominant contribution from the $\rho^0$ meson, we perform a theoretical study on the contribution of $\omega$ meson in the $X(3872) \to J/\psi\pi^+\pi^-$ and $X(3872)\to J/\psi\pi^+\pi^-\pi^0$ processes. It is found that the recent experimental measurements on the $\pi^+ \pi^-$ invariant mass distributions can be well reproduced, and the ratio of the couplings between $X(3872) \to J/\psi\rho^0$ and $X(3872) \to J/\psi\omega$ is also evaluated. Within the parameters extracted from the $\pi^+ \pi^-$ invariant mass distributions of the $X(3872) \to J/\psi\pi^+\pi^-$ process, the branching fractions of the $X(3872) \to J/\psi \omega$ channel relative to that of the $X(3872) \to J/\psi \pi^+\pi^-\pi^0$ channel and the $\pi^+ \pi^- \pi^0$ invariant mass distributions of the $X(3872) \to J/\psi \pi^+\pi^-\pi^0$ decay are calculated, which gives a hint for the further high-statistic experiment. Comment: 8 pages, 3 figures |
| Databáze: | arXiv |
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