The influence of a hypothetical CP violating |\Delta S|=2 interaction on the masses and lifetimes of neutral mesons K0 and \overline K0 is investigated. It is shown, that the assumption of the existence of this superweak interaction does not significantly affect these parameters if phenomenological constraints based on recent experiments are imposed. To establish this result we use a computer simulation of a parameter corresponding to the difference between the diagonal elements of the effective Hamiltonian governing the time evolution in the K0 - \overline K0 system. Instead of the widely used Lee, Oehme and Yang approximation which is insensitive to the |\Delta S|=2 interaction we use a formalism based on the Królikowski-- Rzewuski equation.
PACS numbers: 03.65.Ge, 11.10.St, 13.20.Eb
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