Implication of the observed $\psi (3770)\to p\bar{p}{\pi }^0$ for studying the $p\bar{p}\to \psi (3770){\pi }^0$ process

Abstract

We study the charmonium $p\bar{p}\to \psi (3770){\pi }^0$ reaction using the effective lagrangian approach where the contributions from well established $N^{\ast }$ states are considered, and all parameters are fixed in the process of $e^{+}{e}^{-}\to p\bar{p}{\pi }^0$ at center of mass energy $\sqrt{s}=3.773$ GeV. The experimental data on the line shape of the mass distribution of the $e^{+}{e}^{-}\to p\bar{p}{\pi }^0$ can be well reproduced. Based on the studying of $e^{+}{e}^{-}\to p\bar{p}{\pi }^0$, the total and differential cross sections of the $p\bar{p}\to \psi (3770){\pi }^0$ reaction are predicted. At the same time we evaluated also the cross sections of the $p\bar{p}\to \psi (3686){\pi }^0$ reaction. It is shown that the contribution of the nucleon pole to this reaction is largest from the reaction threshold within a wide range. However, the interference between nucleon pole and the other nucleon resonance can still change the angle distributions significantly. Those theoretical results may be test by the future experiments at $\overline{\mbox{P}}$ANDA.

arXiv comment8 pages, 10 figures, and 4 tables. Accepted by Eur. Phys. J. C. updated some results according to an erratum

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Cited by in corpus (8)

• Line-shape and poles of the $\psi (3770)$
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction
• Detecting the pure triangle sigularity effect through the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process
• Production of the $D_{s0}(2317)$ and $D_{s1}(2460)$ by kaon-induced reactions on a proton target
• Minimal Dilaton Model and the Diphoton Excess
• The role of triangle singularity in isospin breaking process $J/\psi \to \Lambda \bar{\Lambda }\pi$ and the possible evidence of ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ states
• Role of the low-lying nucleon resonances in the $p\bar{p}\to \psi \eta$ reaction