论文标题
$ d $ wave Bottomonia生产从$ z_b^{（\ prime）} $衰减
$D$ wave bottomonia production from $Z_b^{(\prime)}$ decay
论文作者
论文摘要
在目前的工作中，我们研究了$υ（5s）$和$υ_J（1D）$的二齿过渡，$ j = 1、2、3 $。我们的分析表明，$υ（5s）\ to到υ_j（1d）π^+π^ - $的主要宽度的主要来源应为$ z_b^{（\ prime）} $，即，即通过级联decess depays depays prime $（5S）\ t z___b^^pm qultions pm qultions。 \ to到达（1d）π^+π^ - $。假设所有短距离动力学都可以通过模型参数$α$吸收在单个截止中，目前的估计表明，在合理的参数范围内，所测量的分支比为$υ（5s）\至υ_j（1d）π^+π^ - $可以在$ dece $ depal prede $ demand prede（dondy）中，从$υ（5s）$到$υ_J（1D）$的二元过渡。此外，我们还预测了$ z_b^{（（\ prime）} \与υ_j（1d）π$的分支分数的比率，在我们的计算中，该分支部分在很大程度上独立于参数$α$，并且可以通过Belle II中的进一步实验来测试。
In the present work, we investigate the dipion transitions between $Υ(5S)$ and $Υ_J(1D)$ with $J=1, 2, 3$. Our analysis indicates that the dominant sources of the anomalously large widths of $Υ(5S)\to Υ_J(1D) π^+ π^-$ should be $Z_b^{(\prime)}$, i.e., the dipion transitions occur via the cascade decays $Υ(5S)\to Z_b^{(\prime)\pm} π^\mp \to Υ_J(1D) π^+ π^-$. With the assumption that all the short ranged dynamics could be absorbed in a single cutoff with a model parameter $α$, the present estimations indicate that in a reasonable parameter range the measured branching ratios of $Υ(5S) \to Υ_J(1D) π^+ π^-$ can be reproduced in magnitude, which further proves that the decays via $Z_b^{(\prime)}$ dominate the dipion transitions of $Υ(5S)$ to $Υ_J(1D)$. Moreover, we also predict the ratios of the branching fractions of $Z_b^{(\prime)} \to Υ_J(1D) π$, which in our calculations are largely independent of the parameter $α$ and could be tested by further experiments in Belle II.
