$J/ψ\rightarrow p\bar{p}ϕ$ decay in the isobar resonance model

Based on the effective Lagrangian approach, the $J/ψ\to p \bar{p} ϕ$ decay is studied in an isobar resonance model with the assumption that the $ϕ$-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 $g^{2}_{ϕN N^{*}}$ and $g^{2}_{ϕN N^{*}}$ extracted from the data of the partial decay widths of the $N^*$s to the $Nπ$ channel, the reaction cross section of the $π^{-}p\rightarrow nϕ$ process and the partial decay widths of the $J/ψ\rightarrow p\bar{p}η$ and $J/ψ\rightarrow p\bar{n}π^{-}$ processes, respectively, the invariant mass spectrum and the Dalitz plot for $J/ψ\to p \bar{p} ϕ$ 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 $Nϕ$ 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 $pϕ$ 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.

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