Angular distributions in $J/\psi \to p\bar{p}{\pi }^0(\eta )$ decays

Abstract

The differential decay rates of the processes $J/\psi \to p\bar{p}{\pi }^0$ and $J/\psi \to p\bar{p}\eta$ close to the $p\bar{p}$ threshold are calculated with the help of the $N\bar{N}$ optical potential. The same calculations are made for the decays of $\psi (2S)$. We use the potential which has been suggested to fit the cross sections of $N\bar{N}$ scattering together with $N\bar{N}$ and six pion production in $e^{+}{e}^{-}$ annihilation close to the $p\bar{p}$ threshold. The $p\bar{p}$ invariant mass spectra is in agreement with the available experimental data. The anisotropy of the angular distributions, which appears due to the tensor forces in the $N\bar{N}$ interaction, is predicted close to the $p\bar{p}$ threshold. This anisotropy is large enough to be investigated experimentally. Such measurements would allow one to check the accuracy of the model of $N\bar{N}$ interaction.

arXiv comment10 pages, 8 figures

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• Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi \to p\bar{p}\gamma (\rho ,\omega )$ decays
• Final-state interaction in the process $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$
• Near-threshold resonance in $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$ process
• Meson production in $J/\psi$ decays and $J/\psi \to N\bar{N}\gamma$ process