Time dependence of coherentP0P¯0decays andCPviolation at asymmetricBfactories

A generic formalism is presnted for the time-dependent or time-integrated decays of any coherent ${\mathit{P}}^0$P${\mathrm{¯}}^0$ system (${\mathit{P}}^0$=${\mathit{K}}^0$,${\mathit{D}}^0$,${\mathit{B}}_{\mathit{d}}^0$, or ${\mathit{B}}_{\mathit{s}}^0$). To meet various possible measurements at asymmetric B factories, we reanalyze some typical signals of CP violation in the coherent ${\mathit{B}}_{\mathit{d}}^0$B${\mathrm{¯}}_{\mathit{d}}^0$ transitions. The advantage of proper time cuts is illustrated for measuring mixing parameters and CP violation. We show that the direct and indirect CP asymmetries are distinguishable in neutral B decays to CP eigenstates. We also remark on the non-negligible effects of final-state interactions on CP violation in some ${\mathit{B}}_{\mathit{d}}$ decays to non-CP eigenstates. The possibility to detect the CP-forbidden processes at the Υ(4S) resonance is explored in some detail. © 1995 The American Physical Society.