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.

arXiv comment8 pages, 9 figures and 3 tables. Accepted by Phys. Rev. D

References in corpus (30)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• A unitary model for meson-nucleon scattering
• Gauge-invariant tree-level photoproduction amplitudes with form factors
• Resonance model study of kaon production in baryon baryon reactions for heavy ion collisions
• Study of psi(2S) Decays to gamma p bar{p}, pi^0 p bar{p} and eta p bar{p} and Search for p bar{p} Threshold Enhancements
• Covariant L-S Scheme for the effective N*NM couplings
• Phenomenological analysis of the double pion production in nucleon-nucleon collisions up to 2.2 GeV
• Nucleon resonances in omega photoproduction
• On the treatment of $NN$ interaction effects in meson production in $NN$ collisions
• The production of eta-mesons in nucleon-nucleon collisions near threshold
• Resonance model study of strangeness production in pp collisions
• Production of eta mesons in nucleon-nucleon collisions
• On the Coupling of the $\eta$ Meson to the Nucleon
• Charmonium production in p pbar annihilation: Estimating cross sections from decay widths
• Nucleon-Meson Coupling Constants and Form Factors in the Quark Model
• Dynamical Test of Constituent Quark Models with $\pi N$ Reactions
• QCD description of charmonium plus light meson production in antiproton-nucleon annihilation
• The $\eta NN$ coupling constant
• Role of the $N^{\ast }(1535)$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ decay
• Proposal for Studying $N^{\ast }$ Resonances with $\bar{p}p\to \bar{p}n{\pi }^{+}$ Reaction
• Theoretical study on pp --> p n pi+ reaction at medium energies
• Partial wave analysis of $\psi (2S)\to p\bar{p}\eta$
• Associated Charmonium Production in Low Energy p-pbar Annihilation
• Revisiting the production of charmonium plus a light meson at PANDA
• Evidence for a J/psi-ppbar Pauli Strong Coupling ?
• Phenomenological study on the $\bar{p}N\to \bar{N}N\pi \pi$ reactions
• Meson Emission Model of Psi to N Nbar m Charmonium Strong Decays
• Implication of the observed $\psi (3770)\to p\bar{p}{\pi }^0$ for studying the $p\bar{p}\to \psi (3770){\pi }^0$ process
• Toy Model for Pion Production II: The role of three-particle singularities
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction