Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-07-03
Phys Rev D.84.114026,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 2 figures and 3 tables. Some typos corrected and more discussions added. Accepted by PRD
Scientific paper
10.1103/PhysRevD.84.114026
Since the discovery of X(3872), its structure has been in ceaseless dispute. The data of $X(3872)\rightarrow \pi^+\pi^-\pi^0 J/\psi$ suggest that X(3872) may be a high-spin charmonium-like of $2^{-+}$. In terms of the light front quark model (LFQM) we calculate the rates of the radiative decays $X(3872)\rightarrow J/\psi(\psi')\gamma$ supposing X(3872) to be a $2^{-+}$ charmonium. Within this framework, our theoretical prediction on $\mathcal{BR}(X(3872)\rightarrow\psi(1S)\gamma)$ is at order of $10^{-3}$ which is slightly lower than the Babar's data but close to the Belle's. Our prediction on $\mathcal{BR}(X(3872)\rightarrow\psi'\gamma)$ is at order of $10^{-5}$ if $\psi'$ is a pure 2S state or $10^{-4}$ if $\psi'$ is a $2S-1D$ mixture, which does not conflict with the upper bound set by the Belle collaboration, but is much lower than the Babar's data. Thus if the future measurement decides the branching ratio of $\mathcal{BR}(X(3872)\rightarrow\psi'\gamma)$ to be much larger than $10^{-4}$, the $2^{-+}$ assignment for X(3872) should be ruled out.
Ke Hong-Wei
Li Xue-Qian
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