The study of weak decays induced by $\frac{1}{2}^+ \to \frac{3}{2}^-$ transition in light-cone sum rules

Abstract

In this study, we analyzed the weak decays induced by $J^P = \frac{1}{2}^{+} \to \frac{3}{2}^{-} $ transitions within the light-cone sum rules. Specifically, semileptonic decays of the bottom baryons into the P-wave baryons $Λ_b \to Λ_c(2625) \ell ν_l$ and $Ξ_b \to Ξ_c(2815) \ell ν_l$ as well as nonleptonic $Λ_b \to Λ_c(2625) π(ρ)$ and $Ξ_b \to Ξ_c(2815) π(ρ)$ decays are investigated. The form factors for the considered transitions are obtained within the sum rules method. With the calculated form factors, the decay widths of the processes are determined. Up to now, only the decay width for $Λ_b^0 \to Λ_c^+ μ^- ν_μ$ has been measured among the considered decays, and we observe that our finding is quite compatible with the measurement. We also compare our results with the predictions of other approaches.