arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.02807hep-ph
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$X(3872)$的分支分数

Branching Fractions of the $X(3872)$

Eric Braaten, Li-Ping He, Kevin Ingles

摘要:

最近由BaBar合作测量了来自衰变$B^+ \to K^+ +\mathrm{anything}$的反冲动量谱。光谱在$X(3872)$介子质量附近有一个质量不变的峰。BaBar协作组的初步测量结果表明,其进入$J/ψ\, π^+π^-$的分支分数约为4%。我们强调,这是从$B^+$到$K^+$跃迁的整个共振特征的分支分数,其包括$D^{*0} \bar D^0$和$D^0 \bar D^{*0}$阈值增强以及低于阈值的可能的束缚态或虚拟态。如果$X$是粲介子的束缚态,则它到$J/ψ\, π^+π^-$的分支分数应该比$X$共振特征的分支分数大得多。我们使用$X$的分支比的测量,把这个分支分数的上限为33%。我们还约束最简单的合理模型的$X$的线形的参数,使用精确测量的$X$的共振能量和估计的分支分数到$D^0 \bar D^0 π^0$和$D^0 \bar D^0γ$从$X$共振功能从$B^+$ -到- $K^+$过渡。

英文摘要:

The recoil momentum spectrum from the decay $B^+ \to K^+ +\mathrm{anything}$ has recently been measured by the BaBar collaboration. The spectrum has a peak with invariant mass near the mass of the $X(3872)$ meson. The preliminary measurement by the BaBar collaboration implies that its branching fraction into $J/ψ\, π^+π^-$ is about 4\%. We emphasize that this is the branching fraction for the entire resonance feature from $B^+$-to-$K^+$ transitions, which includes a $D^{*0} \bar D^0$ and $D^0 \bar D^{*0}$ threshold enhancement as well as a possible bound state below the threshold or a virtual state. If the $X$ is a bound state of charm mesons, its branching fraction into $J/ψ\, π^+π^-$ should be considerably larger than that of the $X$ resonance feature. We use measurements of branching ratios of the $X$ to put an upper bound on this branching fraction of 33\%. We also constrain the parameters of the simplest plausible model for the line shapes of the $X$ using the precise measurement of the resonance energy of the $X$ and an estimate of the branching fraction into $D^0 \bar D^0 π^0$ and $D^0 \bar D^0γ$ from the $X$ resonance feature from $B^+$-to-$K^+$ transitions.

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