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arXiv 1502.02936hep-ph
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通过隐藏的底鎓衰变寻找$X_b$

Hunting for the $X_b$ via hidden bottomonium decays

Gang Li, Zhu Zhou

摘要:

本文研究了$X_b\to Υ(1S)ω$的同位旋守恒隐底鎓衰变,其中$X_b\to Υ(1S)ω$是著名的$X(3872)$在底鎓扇区的对应物,是介子-介子分子的候选者.由于$X_b$很可能低于$B\bar B^*$阈值,并且中性和带电底介子之间的质量差与$X_b$的结合能相比很小,因此同位旋破坏衰变模式$X_b\to Υ(nS)π^+π^-$将被极大地抑制。我们利用基于重夸克对称性的有效拉格朗日量来探讨$X_b\to Υ(1S)ω$的再散射机制,并计算了部分宽度。我们的结果表明,部分宽度为$X_b\to Υ(1S)ω$是几十keV左右。考虑到$X_b$的总宽度可能比$X(3872)$小几个MeV的事实,计算的分支比可以达到$10^{-2}$的数量级。这些隐藏的底鎓衰变模式在实验上寻找$X_b$特别是在强子对撞机上是非常重要的。同时,对隐藏底鎓衰变$X_b \to Υ(nS) γ$、$Υ(nS)ω$和$B\bar B γ$的相关研究也有助于我们深入研究$X_b$的结构.对$X_b$的实验观测将为我们提供对奇异态光谱学的进一步认识,并有助于探索由重夸克对称性连接的态的结构。

英文摘要:

In this work, we study the isospin conserved hidden bottomonium decay of $X_b\to Υ(1S)ω$, where $X_b$ is taken to be the counterpart of the famous $X(3872)$ in the bottomonium sector as a candidate for the meson-meson molecule. Since it is likely that the $X_b$ is below the $B\bar B^*$ threshold and the mass difference between the neutral and charged bottom meson is small compared to the binding energy of the $X_b$, the isospin violating decay mode $X_b\to Υ(nS)π^+π^-$ would be greatly suppressed. We use the effective Lagrangian based on the heavy quark symmetry to explore the rescattering mechanism of $X_b\to Υ(1S)ω$ and calculate the partial widths. Our results show that the partial width for the $X_b\to Υ(1S)ω$ is about tens of keVs. Taking into account the fact that the total width of $X_b$ may be smaller than a few MeV like $X(3872)$, the calculated branching ratios may reach to orders of $10^{-2}$. These hidden bottomonium decay modes are of great importance in the experimental search for the $X_b$ particularly at the hadron collider. Also, the associated studies of hidden bottomonium decays $X_b \to Υ(nS) γ$, $Υ(nS)ω$, and $B\bar B γ$ may help us investigate the structure of $X_b$ deeply. The experimental observation of $X_b$ will provide us with further insight into the spectroscopy of exotic states and is helpful to probe the structure of the states connected by the heavy quark symmetry.

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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