FCNC transitions of ${\Lambda }_b$ to neutron in Bethe-Salpeter equation approach

Abstract

In a covariant quark-diquark model, we investigate the rare decay of ${\Lambda }_b\to n{l}^{+}{l}^{-}$ and ${\Lambda }_b\to n\gamma$ in the Bethe-Salpeter equation approach. In this model the baryons are treated as bound states of a constituent quark and a diquark interacting via a gluon exchange and the linear confinement. We find that the ratio of form factors $R$ is varies from $-0.90$ to $-0.25$ and the branching ratios $Br({\Lambda }_b\to n{l}^{+}{l}^{-})\times 10^8$ are $6.79(l=e),4.08(l=\mu ),2.9(l=\tau )$ and the branching ratio $Br({\Lambda }_b\to \gamma )\times 10^7)=3.69$ in central values of parameters.

arXiv admin note: text overlap with arXiv:1911.08023

References in corpus (13)

• Nucleon Electromagnetic Form Factors
• Nucleon Form Factors in QCD
• Rare baryon decays Lambda_b -> Lambda l+ l- (l=e, mu, tau) and Lambda_b -> Lambda gamma : Differential and total rates, lepton- and hadron-side forward-backward asymmetries
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Nucleon distribution amplitudes from lattice QCD
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Rare decays of ${\Lambda }_b\to \Lambda \gamma$ and ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in universal extra dimension model
• Double-lepton polarization asymmetries in (Lambda_b -> Lambda l^+ l^-) decay in universal extra dimension model
• Investigation of the ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ transition in universal extra dimension using form factors from full QCD
• Electromagnetic form factors of ${\Lambda }_b$ in the Bethe-Salpeter equation approach
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Rare ${\Lambda }_b\to n{l}^{+}{l}^{-}$ decays in the relativistic quark-diquark picture
• Study of the ${\Lambda }_b\to N^{\ast }{\ell }^{+}{\ell }^{-}$ decay in light cone sum rules

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• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Rare ${\Lambda }_c$ decays and new physics effects
• Baryons and baryoniums in the perspective of QCD sum rules
• Forward-backward asymmetries in ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in Bethe-Salpeter equation approach