  We study the 4-body angular distribution for $\Lambda_b \to \Lambda_c^{+}(\to
\Lambda \pi^{+})\ell^- \bar{\nu}$ decays and find out the analytical
expressions for various asymmetric and angular observables in the Standard
Model and the new physics scenarios and compared them with the literature.
Using the available inputs from the lattice, we have predicted the values with
uncertainties of all these observables in the Standard Model. Considering the
new physics effects in $b\to c\tau^-\bar{\nu}_{\tau}$ transitions, we have
constrained the new Wilson coefficients of the one operator and two operator
scenarios from the available data on these decays. The two-operator scenario
with scalar-pseudoscalar and tensor quark current provides the most plausible
solution to the current data. Also, we have tested the new physics
sensitivities (one or two-operator scenarios) of the different angular
observables in $\Lambda_b \to \Lambda_c (\to \Lambda \pi^{+}) \tau^-
\bar{\nu}_{\tau}$ decays and found correlations among them. We have noted a few
one or two-operator scenarios to which some of these observables are sensitive.
By measuring these observables, it will be possible to distinguish these
effects from one another.
