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arXiv 1202.4882hep-phhep-exnucl-th
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X(3872)与$ ψ^{\prime}γ$和$ J/ψγ$的衰变宽度比作为X(3872)动力学结构的检验

The ratio of decay widths of X(3872) to $ ψ^{\prime}γ$ and $ J/ψγ$ as a test of the X(3872) dynamical structure

A. M. Badalian, V. D. Orlovsky, Yu. A. Simonov, B. L. G. Bakker

摘要:

用耦合道方法研究了X(3872)与$J^{PC}=1^{++}$的辐射衰变,其中$c\bar c$态用相对论弦哈密顿量描述,而衰变道$DD^*$采用弦断裂机制.在该方法中,对于与$DD^*$衰变通道耦合的规定通道,已经获得了$2 {}^3P_1$粲偶素状态的尖锐峰和正确的质量偏移,其刚好达到$D^0D^{*0}$阈值。对于相同的耦合值,归一化波函数(w.f.)的X(3872)获得$1 {}^3P_1$组分与w. f.部分$c_1=0.153 (θ=8.8^\circ$),这将跃迁速率$Γ(X(3872)\rightarrow J/ψγ)$增加到50-70 keV,使得与X(3872)作为纯$2 {}^3P_1$状态的$R\simeq 5$相比,比率$R=\frac{\mathcal{B}(X(3872)\rightarrow ψ^{\prime}γ)}{\mathcal{B}(X(3872)\rightarrow J/ψγ)}=0.8\pm 0.20 (th)$显著更小。

英文摘要:

Radiative decays of X(3872) with $J^{PC}=1^{++}$ are studied in the coupled-channel approach, where the $c\bar c$ states are described by relativistic string Hamiltonian, while for the decay channels $DD^*$ a string breaking mechanism is used. Within this method a sharp peak and correct mass shift of the $2 {}^3P_1$ charmonium state just to the $D^0D^{*0}$ threshold was already obtained for a prescribed channel coupling to the $DD^*$ decay channels. For the same value of coupling the normalized wave function (w.f.) of X(3872) acquires admixture of the $1 {}^3P_1$ component with the w.f. fraction $c_1=0.153 (θ=8.8^\circ$), which increases the transition rate $Γ(X(3872)\rightarrow J/ψγ)$ up to 50-70 keV, making the ratio $R=\frac{\mathcal{B}(X(3872)\rightarrow ψ^{\prime}γ)}{\mathcal{B}(X(3872)\rightarrow J/ψγ)}=0.8\pm 0.20 (th)$ significantly smaller, as compared to $R\simeq 5$ for X(3872) as a purely $2 {}^3P_1$ state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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