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arXiv 0806.3259hep-phhep-ex
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再散射模型中的$Υ(4S,5S)\toΥ(1S)η$跃迁和新的BaBar测量

$Υ(4S,5S)\toΥ(1S)η$ transitions in the rescattering model and the new BaBar measurement

Ce Meng, Kuang-Ta Chao

摘要:

通过考虑$B\bar B$阈值以上的末态相互作用,在再散射模型中研究了$Υ(4S,5S)$到$Υ(1S,2S)$的$η$跃迁.发现$Υ(4S)$到$Υ(1S)$的$η$跃迁的宽度大于双π跃迁的宽度,并预言$Γ(Υ(4S)\toΥ(1S)η)$与$Γ(Υ(4S)\toΥ(1S)π^+π^-)$的比值为$R_4=1.8{-}4.5$,比传统强子跃迁理论的预期值大两个数量级,并得到新的BaBar测量的支持. $Υ(5S)$的$η$跃迁的宽度被发现是敏感的耦合常数$g_{Υ(5S)B^{(*)}B^{(*)}}$由于从$B\bar{B}$,$B^*\bar{B}+c.c.$,和$B^*\bar{B}^*$通道的贡献之间的大的抵消,只有一个粗略的估计$Γ(Υ(5S)\toΥ(1S,2S)η)=10{-}200$ KeV可以给出。讨论了$Υ(4S,5S)$的$η'$跃迁的宽度,由于相空间很小,它们可能比相应的$η$跃迁的宽度小得多.

英文摘要:

The $η$ transitions of $Υ(4S,5S)$ into $Υ(1S,2S)$ are studied in the rescattering model by considering the final state interactions above the $B\bar B$ threshold. The width of the $η$ transition of $Υ(4S)$ into $Υ(1S)$ is found to be larger than that of the dipion transition, and the ratio of $Γ(Υ(4S)\toΥ(1S)η)$ to $Γ(Υ(4S)\toΥ(1S)π^+π^-)$ is predicted to be $R_4=1.8{-}4.5$, which is about two orders of magnitude larger than the expectation of the conventional hadronic transition theory, and is supported by the new BaBar measurement. The widths of the $η$ transitions of $Υ(5S)$ are found to be sensitive to the coupling constants $g_{Υ(5S)B^{(*)}B^{(*)}}$ due to a large cancelation between contributions from the $B\bar{B}$, $B^*\bar{B}+c.c.$, and $B^*\bar{B}^*$ channels, and only a rough estimate $Γ(Υ(5S)\toΥ(1S,2S)η)=10{-}200$ KeV can be given. The widths of the $η'$ transitions of $Υ(4S,5S)$ are also discussed, and they could be much smaller than that of the corresponding $η$ transitions mainly due to the tiny phase space.

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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