Amplitude analysis of the ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and ${\Xi }_c^{+}$ baryon polarization measurement in semileptonic beauty-hadron decays

Abstract

An amplitude analysis of the ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay together with a measurement of the ${\Xi }_c^{+}$ 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 ${\mathrm{fb}}^{-1}$. An amplitude model is developed and the resonance fractions as well as two- and three-body decay parameters are reported. A sizeable ${\Xi }_c^{+}$ polarization is found. A large sensitivity of the ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay to the polarization is seen, making the amplitude model suitable for ${\Xi }_c^{+}$ polarization measurements in other systems.

arXiv commentAll figures and tables, along with any supplementary material and additional information, are available at https://lbfence.cern.ch/alcm/public/analysis/full-details/1602 (LHCb public pages)

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