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arXiv 1107.0443hep-phhep-ex
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X(3872)的辐射衰变告诉我们什么

What do the radiative decays of X(3872) tell us

Hong-Wei Ke, Xue-Qian Li

摘要:

自从X(3872)被发现以来,关于它的结构一直争论不休. $X(3872)\rightarrow π^+π^-π^0 J/ψ$的数据表明X(3872)可能是$2^{-+}$的高自旋类粲偶素。在光前夸克模型(LFQM)下,假设X(3872)是$2^{-+}$,计算了辐射衰变$X(3872)\rightarrow J/ψ(ψ')γ$的速率.在此框架内,我们对$\mathcal{BR}(X(3872)\rightarrowψ(1S)γ)$的理论预测是在$10^{-3}$的顺序,这是略低于Babar的数据,但接近Belle的。我们对$\mathcal{BR}(X(3872)\rightarrowψ'γ)$的预测是在$10^{-5}$的顺序,如果$ψ'$是一个纯的2S状态或$10^{-4}$,如果$ψ'$是一个$2S-1D$的混合物,这并不冲突的上限设置由Belle合作,但远低于巴巴尔的数据。因此,如果将来的测量决定$\mathcal{BR}(X(3872)\rightarrowψ'γ)$的分支比比$10^{-4}$大得多,则应该排除X(3872)的$2^{-+}$分配。

英文摘要:

Since the discovery of X(3872), its structure has been in ceaseless dispute. The data of $X(3872)\rightarrow π^+π^-π^0 J/ψ$ 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 $X(3872)\rightarrow J/ψ(ψ')γ$ supposing X(3872) to be a $2^{-+}$ charmonium. Within this framework, our theoretical prediction on $\mathcal{BR}(X(3872)\rightarrowψ(1S)γ)$ is at order of $10^{-3}$ which is slightly lower than the Babar's data but close to the Belle's. Our prediction on $\mathcal{BR}(X(3872)\rightarrowψ'γ)$ is at order of $10^{-5}$ if $ψ'$ is a pure 2S state or $10^{-4}$ if $ψ'$ 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 $\mathcal{BR}(X(3872)\rightarrowψ'γ)$ to be much larger than $10^{-4}$, the $2^{-+}$ assignment for X(3872) should be ruled out.

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