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Photon or meson formation in $J/\psi$ decays into $p {\overline{p}}$

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arxiv 1802.00763 v2 pith:MXXDKJSZ submitted 2018-02-02 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords overlinedecaysmathcalomegadecaygammarightarrowbaryon
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The measurements of the $J/\psi \rightarrow \gamma p \overline{p}$ decays by the BES Collaboration indicate an enhancement at the $p \overline{p}$ threshold which, however, is not present in the J/$\psi$ decays into $\omega p \overline{p}$ and into $\pi p \overline{p}$. Here, two processes for describing the decays $J/\psi \rightarrow \mathcal{B} p \overline{p}$ where $\mathcal{B} = \gamma, \omega$ are presented in some detail and the cases $\mathcal{B} =\phi, \pi $ are briefly touched on. The first one, applied not only to the radiative decay to reproduce the threshold peak but also to the $\omega p \overline{p}$ decay channel to improve the description of the spectrum, postulates a direct emission of the boson before the baryon pair is formed. The second process assumes that the boson $\mathcal{B}$ is emitted from the baryon pair following the $J/\psi$ decay and includes for the decays into $\gamma p \overline{p}$ a final state nucleon-antinucleon interaction based on the Paris $N \overline{N}$ potential. The reproduction of the $p \overline{p}$ distribution in the $J/\psi \rightarrow \omega p \overline{p}$ decays needs a final state interaction involving a $N(2050)\ 3/2^-$ resonance. The photon- and meson-emission rates are reproduced in a semi-quantitative way.

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