Study of the ${\Lambda }_{b}\to {N}^{\ast }{\ell }^{+}{\ell }^{-}$ decay in light cone sum rules

The form factors of the ${\Lambda }_{b}\to {N}^{\ast }{\ell }^{+}{\ell }^{-}$ decay are calculated in the framework of the light cone QCD sum rules. In the calculations the contribution of the negative parity ${\Lambda }_{b}^{\ast }$ baryon is eliminated by constructing the sum rules for different Lorentz structures. Furthermore the branching ratio of the semileptonic ${\Lambda }_{b}\to {N}^{\ast }{\ell }^{+}{\ell }^{-}$ decay is calculated. The numerical study for the branching ratio of the ${\Lambda }_{b}\to {N}^{\ast }{\ell }^{+}{\ell }^{-}$ decay indicates that it is quite large and could be measurable at future planned experiments to be conducted at LHCb.