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arXiv 1601.03366hep-phnucl-th
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$X(3872)$辐射衰变的短距离RG分析

Short-distance RG-analysis of $X(3872)$ radiative decays

D. A. S. Molnar, R. F. Luiz, R. Higa

摘要:

我们提出了一个重整化群分析的$X(3872)$辐射衰变到$J/ ψγ$和$ψ(2S) γ$。我们假设一个$D\bar{D}^{*}$分子的$X$长距离结构和参数化的接触相互作用的短程物理。利用有效场论技术和功率发散减法方案,我们发现短距离和长距离物理在这些衰变中同样重要。我们的计算为相应的衰变宽度设定了一个下限,原则上可以通过实验进行测试。我们的研究结果可以作为指导建立模型的$X$短距离。

英文摘要:

We present a renormalization-group analysis of the $X(3872)$ radiative decays into $J/ ψγ$ and $ψ(2S) γ$. We assume a $D\bar{D}^{*}$ molecule for the $X$ long-distance structure and parametrize its short-distance physics as contact interactions. Using effective field theory techniques and power-divergence subtraction scheme, we find that short- and long-distance physics are equally important in these decays. Our calculations set a lower limit to the corresponding decay widths, which can in principle be tested experimentally. Our results may be used as guide to build models for the $X$ short-distance.

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