# Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi\to p\bar{p}\gamma(\rho,\omega)$ decays

## TL;DR

This paper models the interaction between real and virtual proton-antiproton pairs in specific J/psi decays using an optical potential approach, successfully fitting experimental data and explaining near-threshold spectral features.

## Contribution

It introduces a new NbarN optical potential model for the 1S0 state and applies it to describe invariant mass spectra in J/psi decays, aligning well with experimental observations.

## Key findings

- Good fit to experimental pbarp invariant mass spectra
- Successful description of near-threshold spectral peaks
- Proposed NbarN interaction potential model

## Abstract

The $p\bar{p}$ invariant mass spectra of the processes $J/\psi\to p\bar{p}\omega$, $J/\psi\to p\bar{p}\rho$, and $J/\psi\to p\bar{p}\gamma$ close to the $p\bar{p}$ threshold are calculated by means of the $N\bar{N}$ optical potential. The potential model for $N\bar{N}$ interaction in the $^{1}S_{0}$ state is proposed. The parameters of the model are obtained by fitting the cross section of $N\bar{N}$ scattering together with the $p\bar{p}$ invariant mass spectra of the $J/\psi$ decays. Good agreement with the available experimental data is achieved. Using our potential and the Green's function approach we also describe the peak in the $\eta'\pi^{+}\pi^{-}$ invariant mass spectrum in the decay $J/\psi\to\gamma\eta'\pi^{+}\pi^{-}$ in the energy region near the $N\bar{N}$ threshold.