CP symmetry tests in the cascade-anticascade decay of charmonium

Abstract

We analyze joint angular distributions of a charmonium decay to the $\Xi \bar{\Xi }$ pair using the $\Xi \to \Lambda \pi \to p{\pi }^{-}\pi$ weak decay chain for the cascade and the charge conjugated mode for the anticascade. The decays allow a direct comparison of the baryon and antibaryon decay properties and a sensitive test of CP symmetry in the strange baryon sector. We show that all involved decay parameters can be determined separately in vector and (pseudo)scalar charmonia decays into $\Xi \bar{\Xi }$ due to the spin correlations between the weak decay chains. Contrary to the recently measured $e^{+}{e}^{-}\to J/\psi \to \Lambda \bar{\Lambda }$ process, the transverse polarization of the cascade is not needed and has almost no impact on the uncertainties of the decay parameters.

5 pages, 1 figure

References in corpus (4)

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• Study of CP violation in hyperon decays at Super Charm-Tau Factories with a polarized electron beam
• Semileptonic decays of spin-entangled baryon-antibaryon pairs
• Precise Measurement of Matter-Antimatter Asymmetry with Entangled Hyperon Antihyperon Pairs
• Remarks on the analysis of the reaction $e^{+}{e}^{-}\to {\Sigma }^0{\bar{\Sigma }}^0$
• Nucleon/Hyperon Physics at BES