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

Abstract

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.

Comments: 12 pages, 2 figures, ws-ijmpa style; v2: a few references added, section 3.2 extended, published version