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.

Comments: 5 pages, 1 figure