Helicity Amplitude Analysis of $J/\psi$ and $\psi (2S)\to \Xi (1530)\bar{\Xi }(1530)$

Abstract

We perform a helicity amplitude analysis for the processes of $e^{+}{e}^{-}$$\to$$J/\psi ,\psi (2S)\to \Xi (1530)\bar{\Xi }(1530)\to \pi \pi \Xi \bar{\Xi }\to \Lambda \bar{\Lambda }4\pi \to p\bar{p}6\pi$. The joint angular distribution for these processes are obtained, which allows a proper estimation of the detection efficiency using helicity amplitude information. In addition, the sensitivities of measurement of hyperon asymmetry decay parameters for these processes are discussed.

Comments: 7 pages, 1 figure. Consistent with paper published in Nuclear Physics B 941 (2019) 861-867