论文标题

$λ_b\toλ_c$ QCD轻锥总和规则的形式

$Λ_b \to Λ_c$ Form Factors from QCD Light-Cone Sum Rules

论文作者

Miao, Yan, Deng, Hui, Huang, Ke-Sheng, Gao, Jing, Shen, Yue-Long

论文摘要

在这项工作中,我们将$λ_b$衰减的过渡形式在$λ_c$的框架内计算为$λ_b$ -baryon的发行幅度振幅(DAS)的框架内。在相关函数的强烈表示中,我们隔离了$λ_c$和$λ_c^*$状态,以便可以在毫无歧义的情况下获得$λ_B\rightArrowλ_c$ form formals formals formals。我们研究了p型和A型电流,以插入光重子,以进行比较,因为重子态的插值电流不是唯一的。我们还在数值计算中使用$λ_b$的DAS使用三个参数化模型。我们介绍了$λ_b\rightarrowλ_c$形式和分支分数,平均前后不对称,平均的最终强子极化以及平均的Lepton的$λ_b\toλ_c\ellμ衰减的$ vatios $ ratios的比例, $ r_ {λ_c} $可以与LHCB数据一致。

In this work, we calculate the transition form factors of $Λ_b$ decaying into $Λ_c$ within the framework of light-cone sum rules with the distribution amplitudes (DAs) of $Λ_b$-baryon. In the hadronic representation of the correlation function, we have isolated both the $Λ_c$ and the $Λ_c^*$ states so that the $Λ_b \rightarrow Λ_c$ form factors can be obtained without ambiguity. We investigate the P-type and A-type current to interpolate the light baryons for a comparison since the interpolation current for the baryon state is not unique. We also employ three parametrization models for DAs of $Λ_b $ in the numerical calculation. We present the numerical predictions on the $Λ_b \rightarrow Λ_c$ form factors and the branching fractions, the averaged forward-backward asymmetry , the averaged final hadron polarization and the averaged lepton polarization of the $Λ_b \to Λ_c \ellμ$ decays, as well as the ratio of branching ratios $R_{Λ_c}$, and the predicted $R_{Λ_c}$ can be consistent with the LHCb data.

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