The experimental data on the helicity amplitudes of charmonium decays are used to measure entanglement in final state spin correlations and test possible violations of the Bell inequality. The study finds that the Bell inequality is violated with a significance of 5σ or more in the decays of various charmonium states into baryon pairs. Specifically, the decays $\eta_c \rightarrow \Lambda + \bar{\Lambda}$, $\chi_c^0 \rightarrow \Lambda + \bar{\Lambda}$, $J/\psi \rightarrow \Xi^- + \bar{\Xi}^+$, $\Xi^0 + \bar{\Xi}^0$, $\Sigma^- + \bar{\Sigma}^+$, $\Sigma^0 + \bar{\Sigma}^0$, $\psi(3686) \rightarrow \Xi^- + \bar{\Xi}^+$, $\Xi^0 + \bar{\Xi}^0$, $\Sigma^- + \bar{\Sigma}^+$, $\Sigma^0 + \bar{\Sigma}^0$, and $\chi_c^0, \chi_c^1 \rightarrow \phi + \bar{\phi}$ show significant violations. The decay $\psi(3686) \rightarrow \Omega^- + \bar{\Omega}^+$ also displays entanglement. These results confirm the presence of entanglement and quantum non-separability at high energies, involving particles of different spins interacting through electroweak and strong interactions. The relatively long lifetime of some produced strange baryons allows for testing whether quantum spin correlations persist after interactions with the beam pipe and detector layers.The experimental data on the helicity amplitudes of charmonium decays are used to measure entanglement in final state spin correlations and test possible violations of the Bell inequality. The study finds that the Bell inequality is violated with a significance of 5σ or more in the decays of various charmonium states into baryon pairs. Specifically, the decays $\eta_c \rightarrow \Lambda + \bar{\Lambda}$, $\chi_c^0 \rightarrow \Lambda + \bar{\Lambda}$, $J/\psi \rightarrow \Xi^- + \bar{\Xi}^+$, $\Xi^0 + \bar{\Xi}^0$, $\Sigma^- + \bar{\Sigma}^+$, $\Sigma^0 + \bar{\Sigma}^0$, $\psi(3686) \rightarrow \Xi^- + \bar{\Xi}^+$, $\Xi^0 + \bar{\Xi}^0$, $\Sigma^- + \bar{\Sigma}^+$, $\Sigma^0 + \bar{\Sigma}^0$, and $\chi_c^0, \chi_c^1 \rightarrow \phi + \bar{\phi}$ show significant violations. The decay $\psi(3686) \rightarrow \Omega^- + \bar{\Omega}^+$ also displays entanglement. These results confirm the presence of entanglement and quantum non-separability at high energies, involving particles of different spins interacting through electroweak and strong interactions. The relatively long lifetime of some produced strange baryons allows for testing whether quantum spin correlations persist after interactions with the beam pipe and detector layers.