Within the framework of HQET, ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c\tau {\overline{\nu }}_{\tau }$ and ${\mathrm{\Omega }}_b\to {\mathrm{\Omega }}_c^{(⁎)}\tau {\overline{\nu }}_{\tau }$ weak decays are studied to the order of $1/m_c$ and $1/m_b$. Helicity amplitudes are written down. Relevant Isgur-Wise functions given by QCD sum rule and large $N_c$ methods are applied in the numerical analysis. The baryonic R-ratios $R({\mathrm{\Lambda }}_c)$ and $R({\mathrm{\Omega }}_c^{(⁎)})$ are obtained.

中文翻译：

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标准模型中的b-重子半τ衰变

在HQET的框架内， ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_C\tau {\overline{\nu }}_{\tau }$ 和 ${\mathrm{\Omega }}_b\to {\mathrm{\Omega }}_C^{（⁎）}\tau {\overline{\nu }}_{\tau }$ 弱衰变被研究到 $\mathrm{1个}/{米}_C$ 和 $\mathrm{1个}/{米}_b$。螺旋度振幅被记录下来。QCD和规则给出的相关Isgur-Wise函数和大${ñ}_C$方法应用于数值分析。重质R比率$\mathrm{[R}（{\mathrm{\Lambda }}_C）$ 和 $\mathrm{[R}（{\mathrm{\Omega }}_C^{（⁎）}）$ 获得。