Angular distributions in J/ψ→ppˉπ0(η)J/ψ\to p\bar{p}π^{0}(η) decays

preprint2016arXivOpen access

Abstract

The differential decay rates of the processes J/ψ→ppˉπ0J/ψ\to p\bar{p}π^{0} and J/ψ→ppˉηJ/ψ\to p\bar{p}η close to the ppˉp\bar{p} threshold are calculated with the help of the NNˉN\bar{N} optical potential. The same calculations are made for the decays of ψ(2S)ψ(2S). We use the potential which has been suggested to fit the cross sections of NNˉN\bar{N} scattering together with NNˉN\bar{N} and six pion production in e+e−e^{+}e^{-} annihilation close to the ppˉp\bar{p} threshold. The ppˉp\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 NNˉN\bar{N} interaction, is predicted close to the ppˉp\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 NNˉN\bar{N} interaction.

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