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arXiv 2210.04640hep-ph
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由重子谱学支持的 $\bm{\Lambda_b\to\Lambda(1520)(\to N\bar{K})\ell^+\ell^-}$ 衰变的跃迁形状因子与角分布

Transition form factors and angular distributions of the $\bm{Λ_b\toΛ(1520)(\to N\bar{K})\ell^+\ell^-}$ decay supported by baryon spectroscopy

Yu-Shuai Li, Su-Ping Jin, Jing Gao, Xiang Liu

AI总结:

本文利用三体光前夸克模型和势模型数值波函数计算了 $\Lambda_b\to\Lambda(1520)$ 跃迁形状因子及稀有衰变角分布,为LHCb实验提供理论支持。

摘要:

我们计算了 $\Lambda_b\to\Lambda(1520)$ 跃迁的弱相互作用形状因子,并进一步计算了无极化 $\Lambda_b$ 和重轻子条件下稀有衰变 $\Lambda_b\to\Lambda(1520)(\to N\bar{K})\ell^{+}\ell^{-}$($N\bar{K}=\{pK^-,n\bar{K}^0\}$)的角分布。形状因子通过三体光前夸克模型计算,该模型采用了从结合高斯展开法的半相对论势模型求解得到的 $\Lambda_b$ 和 $\Lambda(1520)$ 的数值波函数。通过拟合观测到的单底和粲重子质量谱,势模型的参数得以确定,因此该策略可以避免因选择简单谐振子波函数来描述重子而带来的不确定性。随着 LHCb 实验中积累更多数据,我们的结果有助于探索 $\Lambda_b\to\Lambda(1520)\ell^+\ell^-$ 衰变,并加深我们对 $b\to s\ell^+\ell^-$ 过程的理解。

英文摘要:

We calculate the weak transition form factors of the $Λ_b\toΛ(1520)$ transition, and further calculate the angular distributions of the rare decays $Λ_b\toΛ(1520)(\to N\bar{K})\ell^{+}\ell^{-}$ ($N\bar{K}=\{pK^-,n\bar{K}^0\}$) with unpolarized $Λ_b$ and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of $Λ_b$ and $Λ(1520)$ from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the $Λ_b\toΛ(1520)\ell^+\ell^-$ decay and deepen our understanding on the $b\to s\ell^+\ell^-$ processes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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