Semileptonic decay of ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2860{)}^{+}\mathrm{/}{\mathrm{\Lambda }}_c(2625{)}^{+}{\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ within QCD light-cone sum rules

In this work, we calculate the transition form factors for the weak decays ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2860{)}^{+}$ and ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2625{)}^{+}$ using QCD light-cone sum rules, and compute the branching fractions of the corresponding semileptonic decays ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2860{)}^{+}{\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ and ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2625{)}^{+}{\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$. Our predicted branching fraction for ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2625{)}^{+}{\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ is consistent with experimental data and other theoretical predictions, validating the reliability of our method. On this basis, we also present the branching fraction of ${\mathrm{\Lambda }}_b^0\to {\mathrm{\Lambda }}_c(2860{)}^{+}{\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$. These results may serve as a theoretical reference for future experimental measurements of this decay channel.