The effective radius for production of baryon-antibaryon pairs from $\ddot{I}ˆ$ 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 $\ddot{I}ˆ(1^{-})\to B_8(1/2^{+}){\bar{B}}_8(1/2^{-})$ from the BESIII collaboration. For the $J/\ddot{I}ˆ\to \hat{I}›\bar{\hat{I}}›$ and $J/\ddot{I}ˆ(\ddot{I}ˆ(2S))\to \hat{I}{\pounds }^{+}\bar{\hat{I}}{\pounds }^{-}$, 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 $J/\ddot{I}ˆ(\ddot{I}ˆ(2S))$ 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 $J/\ddot{I}ˆ(\ddot{I}ˆ(2S))$. Furthermore, for the other $\ddot{I}ˆ(1^{-})\to B_8(1/2^{+}){\bar{B}}_8(1/2^{-})$ reactions, we propose some methods to get such effective radius.