The
J/ψ,
ψ(3686)→Σ0Σ¯0 processes and subsequent decays are studied using the world’s largest
J/ψ and
ψ(3686) data samples collected with the BESIII detector. The parity-violating decay parameters of the decays
Σ0→Λγ and
Σ¯0→Λ¯γ,
αΣ0=−0.0017±0.0021±0.0018 and
α¯Σ0=0.0021±0.0020±0.0022, are measured for the first time. The strong
CP symmetry is tested in the decays of the
Σ0 hyperons for the first time by measuring the asymmetry
ACPΣ=αΣ0+α¯Σ0=(0.4±2.9±1.3)×10−3. The weak
CP test is performed in the subsequent decays of their daughter particles
Λ and
Λ¯. Also for the first time, the transverse polarizations of the
Σ0 hyperons in
J/ψ and
ψ(3686) decays are observed with opposite directions, and the ratios between the
S-wave and
D-wave contributions of the
J/ψ,
ψ(3686)→Σ0Σ¯0 decays are obtained. These results are crucial to understand the decay dynamics of the charmonium states and the production mechanism of the
Σ0−Σ¯0 pairs. Published by the American Physical Society 2024