Regular Article - Theoretical Physics
Some exact results on CP and CPT violations in a C=−1 entangled pseudoscalar neutral meson pair
Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai, 200433, China
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Revised: 26 May 2013
Published online: 1 August 2013
We consider neutral pseudoscalar mesons in an entangled or Einstein–Podolsky–Rosen state with C=−1. Due to quantum entanglement and antisymmetry of this state, the rates of the joint decays of the meson pair display various interesting features, as is well known. As functions of CP and CPT violating parameters, here we obtain some exact results about the joint decay rates and their asymmetries for a given time difference defined for joint decays to flavor eigenstates, as well as those for joint decays to CP eigenstates. The entanglement allows a meaningful and useful definition of the transition amplitude from a CP eigenstate of a meson. These results yield useful information and criteria on CP and CPT violations.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013