Angular distribution and asymmetries in the decay of the polarized charmed baryon $\Lambda_c^+ \to K^- \, \Delta^{++} \to K^- \, p \, \pi^+$

Angular distribution of the final particles in the decay $\Lambda_c^+\to K^- \, \Delta (1232)^{++} \to K^- \, p \, \pi^+$ of the polarized charmed baryon is discussed. Asymmetries are proposed which allow for determination of the components of the $\Lambda_c^+$ polarization vector. The precession angle of the polarization in the process of baryon channeling in a bent crystal is directly related to these asymmetries. The decay rate and asymmetry parameter for the $\Lambda_c^+\to K^- \, \Delta (1232)^{++}$ decay are calculated in the pole model and compared with experiment.