Measurement of the relative phase between the strong and electromagnetic amplitudes in $\boldsymbol{J/ψ\to Σ^{+} \barΣ^{-}}$
Using 284 pb$^{-1}$ of $e^{+}e^{-}$ collision data collected with the BESIII detector at center-of-mass energies between 3.00 and 3.12 GeV, the relative phase between the strong and electromagnetic interaction amplitudes in the process $J/ψ\to Σ^+ \barΣ^-$ is determined. The relative phase is measured to be $(107.9 \pm 24.9)^{\circ}$ or $(-107.6 \pm 24.3)^{\circ}$, where the uncertainty includes both statistical and systematic sources. This is the first experimental determination of the strong-electromagnetic phase difference in $J/ψ$ decays to a hyperon-antihyperon pair. The branching fraction $\mathcal{B}_{J/ψ\to Σ^+ \barΣ^-}$ is measured to be $(1.14 \pm 0.04)\times 10^{-3}$ for the positive phase solution or $(1.19 \pm 0.04) \times 10^{-3}$ for the negative phase solution. These results provide important input for testing perturbative QCD predictions and studies of SU(3) flavor symmetry.