Role of the low-lying nucleon resonances in the $p\bar{p}\to \psi \eta$ reaction

Abstract

Within the effective Lagrangian approach, we study the $p\bar{p}\to \psi \eta$ [$\psi \equiv \psi (3686)$, $J/\psi$] reaction at the low energy where the contributions from nucleon pole and low-lying nucleon resonances, $N(1520)$, $N(1535)$ and $N(1650)$ are considered. All the model parameters are determined with the help of current experimental data on the decay of $\psi \to p\bar{p}\eta$. Within the model parameters, the total and differential cross sections of the $p\bar{p}\to \psi \eta$ reaction are predicted. We show that the relative phases between different amplitudes of different nucleon resonance will change significantly the angular distributions of the $\bar{p}p\to \psi \eta$ reaction. Therefore, we conclude that these reactions are suitable to study experimentally the properties of the low-lying nucleon resonance and the reaction mechanisms. We hope that these theoretical calculations can be tested by future experiments.

Comments: 8 pages, 9 figures and 3 tables. Accepted by Phys. Rev. D