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In high statistics observations of B^o --> J/\psi K0, originating from theprocess Upsilon(4S)--> B0 B0, it should be possible to observe `cascademixing', where one mixing particle, the B0, turns into another, the K0. This ispossible despite the difficulty that the length of the beam crossing regionmakes a precise definition of the primary vertex impossible. This difficulty iscircumvented by using an `away side' tag to specify the initial time. We reviewthe formalism for describing such processes, and first apply it to simple B0mixing, noting it gives a transparent description for CP and T asymmetries. Inparticular we show that three different asymmetries of the CP and T type, withneglect of direct CP violation, are given by the same expression.  For "cascade mixing" we present predictions for processes of the type B_i -->K_j via J/psi, where in the limit of no direct CP violation each state i or jis determined by a simple tag. There are 16 such simple measureable processes,involving 10 functions of the two time intervals involved. The coefficients ofthe functions are different for each of the processes and are given in terms ofthe mass splitting and the CP, T violating parameter of the B0 mass matrix m_2.The results presented here are just consquences of the quantum mechanics ofparticle mixing and do not involve any particular model of CP violation.

Observability of`Cascade Mixing' in B0 --> J/psi K0