We investigate the potential for discovering new physics through the low-energy scattering processes e−p→e−(μ−)Λc , which could be accessible in the forthcoming ep scattering experiments once adapted to our proposed setups. In the framework of a general low-energy effective Lagrangian, we demonstrate that, compared with the conventional flavor-changing neutral-current weak decays of charmed hadrons and the dilepton productions at high-energy colliders, the low-energy scattering processes can provide more competitive potentials for hunting...