假设$X^{\pm}(5568)\to B_sπ^{\pm}$为分子态时衰变率的估算
Estimating decay rate of $X^{\pm}(5568)\to B_sπ^{\pm}$ while assuming them to be molecular states
摘要：
$X(5568)$的发现引起了人们极大的兴趣，因为它非常特殊，即由四种不同的口味制成。D0合作组声称他们通过门户$X(5568)\to B_sπ$观测到了这种共振，但不幸的是，后来LHCb、CMS、CDF和ATLAS合作组的报告表明没有发现这种状态。几乎在2017年前夕，D0合作组通过$B_s$的半轻子衰变再次证实了$X(5568)$的存在。为了进一步揭示这种差异，我们假设$X(5568)$为分子态，在扩展的光阵面模型中计算了$X(5568)\rightarrow B_sπ^+$的衰变率。数值上，理论预测的$Γ(X(5568)\rightarrow B_sπ^+)$的衰变宽度为$20.28$ MeV，与D0合作组的结果（$Γ=18.6^{+7.9}_{-6.1}(stat)^{+3.5}_{-3.8}(syst)$ MeV）一致.由于共振很窄，信号可能会淹没在杂乱的背景中。类似地，两个开魅分子态$DK$和$BD$，分别命名为$X_a$和$X_b$，可以处于相同的情况。估计$X_a\to D_sπ^0$和$X_b\to B_cπ^0$的速率分别约为30 MeV和20 MeV。我们建议在全球范围内开展实验合作，寻找这两种模式，精确的测量可能会为我们提供有价值的信息。
英文摘要：
Discovery of $X(5568)$ brings up a tremendous interest because it is very special, i.e. made of four different flavors. The D0 collaboration claimed that they observed this resonance through portal $X(5568)\to B_sπ$, but unfortunately, later the LHCb, CMS, CDF and ATLAS collaborations' reports indicate that no such state was found. Almost on the Eve of 2017, the D0 collaboration reconfirmed existence of $X(5568)$ via the semileptonic decay of $B_s$. To further reveal the discrepancy, supposing $X(5568)$ as a molecular state, we calculate the decay rate of $X(5568)\rightarrow B_sπ^+$ in an extended light front model. Numerically, the theoretically predicted decay width of $Γ(X(5568)\rightarrow B_sπ^+)$ is $20.28$ MeV which is consistent with the result of the D0 collaboration ($Γ=18.6^{+7.9}_{-6.1}(stat)^{+3.5}_{-3.8}(syst)$ MeV). Since the resonance is narrow, signals might be drowned in a messy background. In analog, two open-charm molecular states $DK$ and $BD$ named as $X_a$ and $X_b$, could be in the same situation. The rates of $X_a\to D_sπ^0$ and $X_b\to B_cπ^0$ are estimated as about 30 MeV and 20 MeV respectively. We suggest the experimental collaborations round the world to search for these two modes and accurate measurements may provide us with valuable information.
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