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arXiv 0902.4295hep-phhep-ex
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\bar B \to <$_c和\bar B PDMATHAAB <$_c \bar <$_c的研究

Study of \bar B\to Λ_c\bar Λ_c and \bar B\to Λ_c\bar Λ_c \bar K

Hai-Yang Cheng, Chun-Khiang Chua, Yu-Kuo Hsiao

摘要:

研究了具有双重魅力的二体和三体重子B衰变$\bar B\to Λ_c^+\bar Λ_c^-$和$\bar B\to Λ_c^+\bar Λ_c^- \bar K$。如前所述,对后一种衰变的分支比${\cal O}(10^{-8})$的简单估计与实验相比太小了三到四个数量级。以前,已经表明,由于质量接近$Λ_c\barΛ_c$阈值的粲鎓类共振(例如Belle发现的X(4630)),可以发生$Λ_c^+\barΛ_c^-\bar K$产生的大幅增强。受BaBar在质量为2930 MeV的$Λ_c \bar K$系统中观察到共振的启发,我们研究了中间态$Ξ_c(2980)$对$\bar B\toΛ_c^+\barΛ_c^-\bar K$的贡献,该中间态被假定为第一正宇称激发的$D$波粲重子态.假设在$\bar B\to Ξ_c(2980)\barΛ_c$和$Λ_c\barΛ_c$组态中通过$σ$和$π$介子交换产生了软$q\bar q$夸克对,发现$\bar B\to Λ_c^+\bar Λ_c^- \bar K$和$\bar B\to Λ_c^+\bar Λ_c^-$的分支比分别为$3.5\times 10^{-4}$和$5\times 10^{-5}$的量级,与实验一致,只是对$Λ_c\barΛ_c K^-$的预测稍小.结合我们以前的分析,我们得出结论,$\bar B\to Λ_c^+\bar Λ_c^-\bar K$的极大的比率产生于共振$Ξ_c(2980)$和X(4630)。

英文摘要:

We study the doubly charmful two-body and three-body baryonic B decays $\bar B\to Λ_c^+\bar Λ_c^-$ and $\bar B\to Λ_c^+\bar Λ_c^- \bar K$. As pointed out before, a naive estimate of the branching ratio ${\cal O}(10^{-8})$ for the latter decay is too small by three to four orders of magnitude compared to experiment. Previously, it has been shown that a large enhancement for the $Λ_c^+\barΛ_c^-\bar K$ production can occur due to a charmonium-like resonance (e.g. X(4630) discovered by Belle) with a mass near the $Λ_c\barΛ_c$ threshold. Motivated by the BaBar's observation of a resonance in the $Λ_c \bar K$ system with a mass of order 2930 MeV, we study in this work the contribution to $\bar B\toΛ_c^+\barΛ_c^-\bar K$ from the intermediate state $Ξ_c(2980)$ which is postulated to be a first positive-parity excited $D$-wave charmed baryon state. Assuming that a soft $q\bar q$ quark pair is produced through the $σ$ and $π$ meson exchanges in the configuration for $\bar B\to Ξ_c(2980)\barΛ_c$ and $Λ_c\barΛ_c$, it is found that branching ratios of $\bar B\to Λ_c^+\bar Λ_c^- \bar K$ and $\bar B\to Λ_c^+\bar Λ_c^-$ are of order $3.5\times 10^{-4}$ and $5\times 10^{-5}$, respectively, in agreement with experiment except that the prediction for the $Λ_c\barΛ_c K^-$ is slightly smaller. In conjunction with our previous analysis, we conclude that the enormously large rate of $\bar B\to Λ_c^+\bar Λ_c^-\bar K$ arises from the resonances $Ξ_c(2980)$ and X(4630).

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