The effective radius for production of baryon-antibaryon pairs from $\psi$ decays

Abstract

By using the covariant L-S Scheme for the partial wave analysis, we deduce the ratios between the S-wave and D-wave contributions from the recent data of $\psi (1^{-})\to B_8(1/2^{+}){\bar{B}}_8(1/2^{-})$ from the BESIII collaboration. For the $J/\psi \to \Lambda \bar{\Lambda }$ and $J/\psi (\psi (2S))\to {\Sigma }^{+}{\bar{\Sigma }}^{-}$, the ratios are fixed and the average angular momenta are computed to estimate the effective radii of these processes. The results show that the effective radii of these decays of $J/\psi (\psi (2S))$ are very small, which are around 0.04 fm. Thus, it is a nice place to search excited baryon resonances with lower spin in the decays of $J/\psi (\psi (2S))$. Furthermore, for the other $\psi (1^{-})\to B_8(1/2^{+}){\bar{B}}_8(1/2^{-})$ reactions, we propose some methods to get such effective radius.

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