$\Omega_{b}^{*}$、$\Sigma_{b}^{*}$ 和 $\Xi_{b}^{\prime*}$ 重子的半轻子衰变
The semileptonic decays of $Ω_{b}^{*}$, $Σ_{b}^{*}$ and $Ξ_{b}^{\prime*}$ baryons
- North China Electric Power University（华北电力大学）
- Southeast University（东南大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文用QCD求和规则计算自旋3/2+底重子到自旋1/2+粲重子半轻子衰变的形状因子与衰变宽度，并预测极化观测量，为单重夸克重子研究提供参考。
AI中文摘要：
在本文中，我们采用基于三点关联函数的QCD求和规则，系统分析了自旋 $\frac{3}{2}^{+}$ 底重子（$\Omega_{b}^{*}$、$\Sigma_{b}^{*}$ 和 $\Xi_{b}^{\prime *}$）到其相应的自旋 $\frac{1}{2}^{+}$ 粲伙伴的半轻子衰变的跃迁形状因子。在现象学方面，我们消除了负宇称重子以及低自旋态重子的污染。算符乘积展开进行到维度为六的凝聚项，包括微扰部分、夸克凝聚 $\langle \bar{q} q\rangle$、胶子凝聚 $\langle g_{s}^{2}GG\rangle$、混合凝聚 $\langle \bar{q} g_{s}\sigma Gq\rangle$ 以及四夸克凝聚 $\langle \bar{q} q\rangle^{2}$ 和 $g_{s}^{2}\langle \bar{q} q\rangle^{2}$。形状因子在类空区域进行评估，然后通过 $z$-级数展开方法拟合到类时物理区域。最后，利用我们预测的形状因子计算了 $\Omega_{b}^{*}$、$\Sigma_{b}^{*}$ 和 $\Xi_{b}^{\prime*}$ 重子的半轻子衰变宽度，并预测了各种极化观测量。本工作的预测结果与其他合作组的预测结果进行了比较，预期对研究这些单重夸克重子的性质具有参考价值。
英文摘要：
In this article, we employ the QCD sum rules basing on three-point correlation function to systematically analyze the transition form factors for the semileptonic decays of the spin \(\frac{3}{2}^{+}\) bottom baryons (\(Ω_{b}^{*}\), \(Σ_{b}^{*}\), and \(Ξ_{b}^{\prime *}\)) to their corresponding spin \(\frac{1}{2}^{+}\) charmed partners. On the phenomenological side, we eliminate the contaminations of the baryons with negative parity and those with lower spin states. The operator product expansion is carried out up to dimension-six condensates, including the perturbative part, quark condensate \(\langle \bar{q} q\rangle\), gluon condensate \(\langle g_{s}^{2}GG\rangle\), mixed condensate \(\langle \bar{q} g_{s}σGq\rangle\), and four-quark condensates \(\langle \bar{q} q\rangle^{2}\) and \(g_{s}^{2}\langle \bar{q} q\rangle^{2}\). The form factors are evaluated in the space-like region and then are fitted into the time-like physical region via a $z$-series expansion approach. Finally, the semileptonic decay widths for $Ω_{b}^{*}$, $Σ_{b}^{*}$ and $Ξ_{b}^{\prime*}$ baryons are calculated with our predicted form factors, and various polarization observables are also predicted. The predicted results in this work are compared with those predicted by other collaborations, and are expected to be useful for studying the properties of these singly heavy baryons.
