  The tree-level $b\rightarrow c{\ell}\bar\nu_{\ell}$ based hadronic
transitions have been on the focus of much attention since recording
significant deviations of the experimental data, on the ratios of the branching
fractions in $ \tau $ and $ e-\mu $ channels of the semileptonic $ B
\rightarrow D $ transition, from the SM predictions by BaBar Collaboration in
2012. It can be of great importance to look whether similar discrepancies take
place in the semileptonic baryonic $\Lambda_{b}\rightarrow
\Lambda_{c}{\ell}\bar\nu_{\ell}$ decay channel or not. In this accordance we
estimate the decay width as well as the ratios of the branching fractions in $
\tau $ and $ e-\mu $ channels of this baryonic transition by calculating the
form factors, entering the amplitude of this transition as the main inputs, in
the framework of QCD sum rules in full theory. We compare the obtained results
with the predictions of other theoretical studies. Our results may be compared
with the corresponding future experimental data to look for possible deviations
of data from the SM predictions.
