Decays of $X(3872)$ to $\chi_{cJ}\pi^0$ and $J/\psi\pi^+\pi^-$

Autor: Zhou, Zhi-Yong, Yu, Meng-Ting, Xiao, Zhiguang
Rok vydání: 2019
Předmět:
Zdroj: Phys. Rev. D 100, 094025 (2019)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.100.094025
Popis: By describing the $X(3872)$ using the extended Friedrichs scheme, in which $D\bar D^*$ is the dominant component, we calculate the decay rates of the $X(3872)$ to $\pi^0$ and a $P$-wave charmonium $\chi_{cJ}$ state with $J=0,1$, or $2$, and its decays to $J/\psi\pi^+\pi^-$ where $\pi^+\pi^-$ are assumed to be produced via an intermediate $\rho$ state. The decay widths of $X(3872)\to\chi_{cJ}\pi^0$ for $J=0,1,2$ are of the same order. However, this model calculation exhibits that the decay rate of $X(3872)$ to $\chi_{c1}\pi^0$ is one order of magnitude smaller than its decay rate to $J/\psi\pi^+\pi^-$.
Comment: 7 pages, 3 figures; v2, some corrections and minor modification of the discussion. Final published version
Databáze: arXiv