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

Abstract

An amplitude analysis of ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ decays together with a measurement of the ${\Lambda }_c^{+}$ polarization vector in semileptonic beauty hadron decays is presented. A sample of $400000$ candidates is selected from proton-proton collisions recorded by the LHCb detector at a center-of-mass energy of 13 TeV. An amplitude model is developed and the resonance fractions as well as two- and three-body decay parameters are reported. The mass and width of the $\Lambda (2000)$ state are also determined. A significant ${\Lambda }_c^{+}$ polarization is found. A large sensitivity of the ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay to the polarization is seen, making the amplitude model suitable for ${\Lambda }_c^{+}$ polarization measurements in other systems.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2022-002.html

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