Asymmetry between inclusive charmed and anticharmed modes inB0, B¯0decay as a measure ofCPviolation

The anticharm-charm asymmetry A(c,c¯) in the inclusive decay of tagged $B^0$ and B¯ ${}_{}{}^0{}_{}{}^{}$ mesons is calculated within the context of the Kobayashi-Maskawa (KM) model. It is shown that A(c,c¯) is independent of the final-state interactions to a very good approximation. By using estimates of branching ratios, of the differences of the masses of the eigenstates of the $B_d^0$ and the $B_s^0$, and of matrix elements of the quark currents, we find ‖A(c,c¯)‖<0.01. If instead of using those estimates of the three sets of parameters we treat them as unknowns, we find that an upper limit on the magnitude of A(c,c¯) in the context of the model is of the order of 5%. A measurement of A(c,c¯) leading to a value significantly greater than 5% would be a clear indication that the KM model does not provide a complete description of CP violation.