Amplitude analysis of the $Ξ^+_c\to pK^-π^+$ decay and $Ξ^+_c$ baryon polarization measurement in semileptonic beauty-hadron decays
An amplitude analysis of the $Ξ^+_c\to pK^-π^+$ decay together with a measurement of the $Ξ^+_c$ polarization vector in semileptonic beauty-hadron decays is presented. The analysis is performed using proton-proton collision data collected by the LHCb experiment, corresponding to an integrated luminosity of 9 ${\rm fb}^{-1}$. An amplitude model is developed and the resonance fractions as well as two- and three-body decay parameters are reported. A sizeable $Ξ^+_c$ polarization is found. A large sensitivity of the $Ξ^+_c\to pK^-π^+$ decay to the polarization is seen, making the amplitude model suitable for $Ξ^+_c$ polarization measurements in other systems.