标题： 通过$Υ(10753)$的辐射跃迁产生$X_b$ 显示英文标题

标题： Production of $X_b$ via radiative transition of $Υ(10753)$

摘要： 我们研究了底夸克偶素谱中$\Upsilon(10753)$与$S$-$D$混合态以及$\Upsilon(4S)$和$\Upsilon_1(3\,{}^3D_1)$之间的辐射跃迁，以及$X_b$与$X(3782)$的重夸克味对称性对应态之间的辐射跃迁。 通过假设辐射跃迁通过中间底介子发生，包括$P$-波$B_1^{(\prime)}$介子以及$S$-波$B^{(*)}$的介子。 考虑$B_1^{(\prime)}$介子会导致耦合处于$S$-波，从而增强中间介子环的贡献。 辐射衰变宽度对于$\Upsilon(10753)\to\gamma X_b$被预测为数量级为$10~\mathrm{keV}$，对应于分支比为$10^{-4}$。根据理论结果，我们强烈建议在$e^+e^-\to\gamma X_b$中搜索$X_b$，并且在$\sqrt{s}=10.754~\mathrm{GeV}$附近有$X_b\to\pi\pi\chi_{b1}$，希望这里的计算能够通过未来的 Belle II 实验进行验证。 显示英文摘要

摘要： We studied the radiative transitions between the $\Upsilon(10753)$, the $S$-$D$ mixed state of the $\Upsilon(4S)$ and $\Upsilon_1(3\,{}^3D_1)$, and the $X_b$, the heavy quark flavor symmetry counterpart of the $X(3782)$ in the bottomonium sector. The radiative transition was assumed to occur through the intermediate bottom mesons, including $P$-wave $B_1^{(\prime)}$ mesons as well as the $S$-wave $B^{(*)}$ ones. The consideration of the $B_1^{(\prime)}$ mesons leads to the couplings to be in $S$-wave, and hence enhances the contributions of the intermediate meson loops. The radiative decay width for the $\Upsilon(10753)\to\gamma X_b$ is predicted to be order of $10~\mathrm{keV}$, corresponding to a branching fraction of $10^{-4}$. Based on the theoretical results, we strongly suggest to search for the $X_b$ in the $e^+e^-\to\gamma X_b$ with $X_b\to\pi\pi\chi_{b1}$ near $\sqrt{s}=10.754~\mathrm{GeV}$, and it is hoped that the calculations here could be tested by the future Belle II experiments.