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We discuss 2-particle correlations which arise in the time evolution of C-odd and C-even meson–antimeson states of flavoured neutral mesons. In order to keep our discussion general, we do not use the Weisskopf – Wigner approximation. Possible deviations from quantum-mechanical coherence effects are parameterized by a so-called decoherence parameter . In particular, we study the -dependence of the asymmetry of unlike and like-flavoured events which was recently observed experimentally in the system. In this -dependence, we point out some important general features which do not rely on the Weisskopf – Wigner approximation. Some other related results are derived more generally than in the literature.

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