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arXiv 2206.04501hep-ph
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用微扰QCD方法研究色抑制衰变$Λ_b\rightarrow Λψ$

Investigating the color-suppressed decays $Λ_b\rightarrow Λψ$ in the perturbative QCD approach

Zhou Rui, Chao-Qi Zhang, Jia-Ming Li, Meng-Kun Jia

摘要:

利用微扰QCD方法研究了非轻子二体$Λ_b\rightarrow Λψ$与$ψ=J/ψ$或$ψ(2S)$的衰变.这些都是颜色抑制的过程中,不可因式分解的贡献被证实是占主导地位的。角动量守恒允许我们用四个独立的复螺旋度振幅来描述相关的衰变。观察到$Λ$重子的负螺旋度态是在带电相互作用的左手性质中所期望的。螺旋度振幅的所得结果被用来计算分支比和各种可观察到的参数,然后将其与现有的理论预测和实验数据进行比较。特别地,我们预测比率$\mathcal{R}=\frac{\mathcal{B}(Λ_b\rightarrowΛψ(2S))}{\mathcal{B}(Λ_b\rightarrowΛJ/ψ)}=0.47^{+0.02}_{-0.00}$与来自粒子数据组的$0.508\pm 0.023$相比在1个标准偏差的水平。我们还简要地探讨了在双轻子不变质量位于$J/ψ$和$ψ(2S)$共振附近的运动学区域中,长距离对半轻子$Λ_b \rightarrow Λl^+l^-$衰变的贡献。

英文摘要:

The nonleptonic two-body $Λ_b\rightarrow Λψ$ decays with $ψ=J/ψ$ or $ψ(2S)$ are investigated based on the perturbative QCD approach. These are color-suppressed processes in which the nonfactorizable contributions are confirmed to be dominant. Angular momentum conservation allows us to describe the concerned decays by four independent complex helicity amplitudes. It is observed that the negative-helicity states for the $Λ$ baryon are preferred as expected in the left-handed nature of the charged-current interaction. The obtained results for the helicity amplitudes are used to compute the branching ratios and various observable parameters, which are then compared to the existing theoretical predictions and experimental data. In particular, we predict the ratio $\mathcal{R}=\frac{\mathcal{B}(Λ_b\rightarrowΛψ(2S))}{\mathcal{B}(Λ_b\rightarrowΛJ/ψ)}=0.47^{+0.02}_{-0.00}$ in comparison with $0.508\pm 0.023$ from the Particle Data Group at the level of 1 standard deviation. We also briefly explore the long-distance contributions to the semileptonic $Λ_b \rightarrow Λl^+l^-$ decays in the kinematic regions where the dilepton invariant masses are around the $J/ψ$ and $ψ(2S)$ resonances.

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