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On general grounds based on quantum field theory the decay amplitude for$\Sigma^0 \to \Lambda \gamma$ consists of a parity conserving magnetic and aparity violating electric dipole transition moment. Because of the subsequentself-analyzing weak decay of the $\Lambda$ hyperon the interference betweenmagnetic and electric dipole transition moment leads to an asymmetry in theangular distribution. Comparing the decay distributions for the $\Sigma^0$hyperon and its antiparticle gives access to possible C and CP violation. Basedon flavor SU(3) symmetry the present upper limit on the neutron electric dipolemoment can be translated to an upper limit for the angular asymmetry. It turnsout to be far below any experimental resolution that one can expect in theforeseeable future. Thus any true observation of a CP violating angularasymmetry would constitute physics beyond the standard model, even if extendedby a CP violating QCD theta-vacuum-angle term.

Constraining P and CP violation in the main decay of the neutral Sigma hyperon