  We reexamine the mass mixing and CP violation in the B\bar{B} system in
general SU(2)_L \times SU(2)_R \times U(1) models related to the recent
measurements. The right-handed contributions can be sizable in B\bar{B} mixing
and CP asymmetry in B decays for a heavy W^\prime even with a mass about 3 TeV.
On the other hand the lower bound on the mass of W^\prime can be taken down to
approximately 300 GeV.
