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arXiv 1001.0987hep-phhep-ex
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两体强子粲介子衰变

Two-body hadronic charmed meson decays

Hai-Yang Cheng, Cheng-Wei Chiang

摘要:

本文研究了两体强子粲介子衰变,包括PP模和VP模。最新的实验数据首先分析的图解方法。的味道振幅的幅度和强相位提取的Cabibbo青睐(CF)衰减模式,使用$χ^2$最小化。最佳拟合值,然后用于预测的分支分数的单一Cabibbo抑制(SCS)和双重Cabibbo抑制衰变模式的味道SU(3)对称性限制。我们在某些SCS通道中观察到显著的SU(3)破缺效应。在VP模式的情况下,我们指出,$A_P$和$A_V$振幅不能完全确定根据目前可用的数据。我们推测引用的$D_s^+\to\bar K^0K^{*+}$和$D_s^+\to ρ^+η'$的实验结果被高估了。我们比较的大小颜色允许和颜色抑制树振幅提取的有效参数$a_1$和$a_2$中定义的因式分解的方法从数学方法。比率$|a_2/a_1|$在$D \to {\bar K} π$、${\bar K}^* π$和${\bar K} ρ$模式中或多或少是通用的。这个特征使我们能够区分拓扑振幅的不同解。对于$Γ(D^0\to K^+K^-)/Γ(D^0\toπ^+π^-)$比率的长期困惑,我们认为,除了旁观者振幅中的SU(3)破缺效应,通过附近共振$f_0(1710)$的长距离共振贡献可以自然地解释为什么$D^0$通过$W$交换拓扑更丰富地衰变为$K^+ K^-$而不是$π^+ π^-$。

英文摘要:

We study in this work the two-body hadronic charmed meson decays, including both the PP and VP modes. The latest experimental data are first analyzed in the diagrammatic approach. The magnitudes and strong phases of the flavor amplitudes are extracted from the Cabibbo-favored (CF) decay modes using $χ^2$ minimization. The best-fitted values are then used to predict the branching fractions of the singly-Cabibbo-suppressed (SCS) and doubly-Cabibbo-suppressed decay modes in the flavor SU(3) symmetry limit. We observe significant SU(3) breaking effects in some of SCS channels. In the case of VP modes, we point out that the $A_P$ and $A_V$ amplitudes cannot be completely determined based on currently available data. We conjecture that the quoted experimental results for both $D_s^+\to\bar K^0K^{*+}$ and $D_s^+\to ρ^+η'$ are overestimated. We compare the sizes of color-allowed and color-suppressed tree amplitudes extracted from the diagrammatical approach with the effective parameters $a_1$ and $a_2$ defined in the factorization approach. The ratio $|a_2/a_1|$ is more or less universal among the $D \to {\bar K} π$, ${\bar K}^* π$ and ${\bar K} ρ$ modes. This feature allows us to discriminate between different solutions of topological amplitudes. For the long-standing puzzle about the ratio $Γ(D^0\to K^+K^-)/Γ(D^0\toπ^+π^-)$, we argue that, in addition to the SU(3) breaking effect in the spectator amplitudes, the long-distance resonant contribution through the nearby resonance $f_0(1710)$ can naturally explain why $D^0$ decays more copiously to $K^+ K^-$ than $π^+ π^-$ through the $W$-exchange topology.

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