$J/\psi \rightarrow p\bar{p}\phi$ decay in the isobar resonance model

Abstract

Based on the effective Lagrangian approach, the $ J/\psi \to p \bar{p} \phi$ decay is studied in an isobar resonance model with the assumption that the $\phi$-meson is produced from intermediate nucleon resonances. The contributions from the $N^*_{1/2^-}(1535)$, $N^*_{3/2^+}(1900)$, $N^*_{1/2^-}(2090)$ and $N^*_{1/2^+}(2100)$ states are considered. In terms of the coupling constants $g^{2}_{\phi N N^{*}}$ and $g^{2}_{\phi N N^{*}}$ extracted from the data of the partial decay widths of the $N^*$s to the $N\pi$ channel, the reaction cross section of the $\pi^{-}p\rightarrow n\phi$ process and the partial decay widths of the $J/\psi\rightarrow p\bar{p}\eta$ and $J/\psi\rightarrow p\bar{n}\pi^{-}$ processes, respectively, the invariant mass spectrum and the Dalitz plot for $ J/\psi \to p \bar{p} \phi$ are predicted. It is shown that there are two types of results. In the type I case, a large peak structure around 2.09GeV implies that a considerable mount of $N\phi$ or $qqqs\bar s$ component may exist in the narrow-width $N^*_{1/2^-}(2090)$ state, but for the wide-width $N^*_{1/2^+}(2100)$ state, it has little $qqqs\bar s$ component. In the type II case, a small peak around 2.11GeV may only indicate the existence of a certain mount of $p\phi$ or $qqqs\bar s$ component in the narrow-width $N^*_{1/2^+}(2100)$ state, but no information for the wide-width $N^*_{1/2^-}(2090)$ state. Further BESIII data with high statistics would help us to distinguish the strange structures of these $N^*$s.