标题： 标量奇异介子$T_{bs;\overline{u}\overline{d}}^{-}$的衰变模式 显示英文标题

标题： Decay modes of the scalar exotic meson $T_{bs;\overline{u}\overline{d}}^{-}$

摘要： 我们研究标量四夸克态$T_{bs; \overline{u}\overline{d}}^{-}$到末态$T_{cs;\overline{u}\overline{d} }^{0} l \overline{\nu}_l$的半轻子衰变，该衰变由弱跃迁$b \to c l \overline{\nu}_l$引发。 为了这些目的，我们计算了末态标量四夸克态$T_{cs;\overline{u}\overline{ d}}^{0}$的光谱参数。 在计算中，我们使用QCD求和规则方法，并考虑到至多维度10的夸克、胶子和混合凝聚态。 本工作中得到的 $T_{cs;\overline{u}\overline{d}}^{0}$的质量 $( 2878 \pm 128 )~\mathrm{MeV}$表明它在强相互作用下是不稳定的，并且可以衰变为介子 $D^{0}\overline{K}^{0}$和 $D^{+}K^{-}$。 这些 $S$波模式的部分宽度以及四夸克态 $T_{cs;\overline{u}\overline{d}}^{0}$的总宽度通过 QCD 光锥求和规则方法和软介子近似的技巧工具得到了计算。 主要半轻子过程的衰变宽度$T_{bs;\overline{u}\overline{d}}^{-} \to T_{cs;\overline{u} \overline{d}}^{0}l\overline{\nu}_l$、$l=e, \mu$和$\tau$是通过使用从 QCD 三点求和规则提取的弱形式因子$G_{1}(q^2)$和$G_{2}(q^2)$计算得到的。我们还追溯了稳定四夸克态$T_{bb;\overline{u}\overline{d} }^{-} $向常规介子的弱变换。 The obtained results for the full width $ \Gamma_{\mathrm{full}}=(3.28\pm 0.60) \times 10^{-10}~\mathrm{MeV} $ and mean lifetime $\tau=2.01_{-0.31}^{+0.44}~\mathrm{ps}$ of $T_{bs;\overline{u} \overline{d}}^{-}$, as well as predictions for decay channels of the tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$ can be used in experimental studies of these exotic states. \end{abstract} 显示英文摘要

摘要： We investigate the semileptonic decay of the scalar tetraquark $T_{bs; \overline{u}\overline{d}}^{-}$ to final state $T_{cs;\overline{u}\overline{d} }^{0} l \overline{\nu}_l$, which proceeds due to the weak transition $b \to c l \overline{\nu}_l$. For these purposes, we calculate the spectroscopic parameters of the final-state scalar tetraquark $T_{cs;\overline{u}\overline{ d}}^{0}$. In calculations we use the QCD sum rule method by taking into account the quark, gluon, and mixed condensates up to dimension 10. The mass of the $T_{cs;\overline{u}\overline{d}}^{0}$ obtained in the present work $( 2878 \pm 128 )~\mathrm{MeV}$ indicates that it is unstable against the strong interactions, and can decay to the mesons $D^{0}\overline{K}^{0}$ and $D^{+}K^{-}$. Partial widths of these $S$-wave modes as well as the full width of the tetraquark $T_{cs;\overline{u}\overline{d}}^{0}$ are found by means of the QCD light-cone sum rule method and technical tools of the soft-meson approximation. The partial widths of the main semileptonic processes $T_{bs;\overline{u}\overline{d}}^{-} \to T_{cs;\overline{u} \overline{d}}^{0}l\overline{\nu}_l$, $l=e, \mu$, and $\tau$ are computed by employing the weak form factors $G_{1}(q^2)$ and $G_{2}(q^2)$, which are extracted from the QCD three-point sum rules. We also trace back the weak transformations of the stable tetraquark $T_{bb;\overline{u}\overline{d} }^{-} $ to conventional mesons. The obtained results for the full width $ \Gamma_{\mathrm{full}}=(3.28\pm 0.60) \times 10^{-10}~\mathrm{MeV} $ and mean lifetime $\tau=2.01_{-0.31}^{+0.44}~\mathrm{ps}$ of $T_{bs;\overline{u} \overline{d}}^{-}$, as well as predictions for decay channels of the tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$ can be used in experimental studies of these exotic states. \end{abstract}