  The absence of semitauonic decays of charmed hadrons makes the decay
processes mediated by the quark-level $c\to d \tau^+ \nu_{\tau}$ transition
inadequate for probing a generic new physics (NP) with all kinds of Dirac
structures. To fill in this gap, we consider in this paper the quasielastic
neutrino scattering process $\nu_{\tau}+n\to \tau^-+\Lambda_c$, and propose
searching for NP through the polarizations of the $\tau$ lepton and the
$\Lambda_c$ baryon. In the framework of a general low-energy effective
Lagrangian, we perform a comprehensive analysis of the (differential) cross
sections and polarization vectors of the process both within the Standard Model
and in various NP scenarios, and scrutinize possible NP signals. We also
explore the influence on our findings due to the uncertainties and the
different parametrizations of the $\Lambda_c \to N$ transition form factors,
and show that they have become one of the major challenges to further constrain
possible NP through the quasielastic scattering process.
