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We investigate CP violation in the purely right-handed b quark to c- and u-quark coupling model under the constraint of right-handed W-gauge boson massM_R > 720 GeV , which is experimentally obtained recently by D0 Collaborationat Fermilab. By using the data on $K_L-K_S$ mass difference, CP violatingparameter $\epsilon$ in the neutral kaon system and $B_d-\bar B_d$ mixing,together with the new data of $Br (B^-\to \psi\pi^-) /Br (B^-\to \psi K^-) =0.052 \pm 0.024 (\approx \mid V_{cd}/V_{cs} \mid^2)$, we can fix all of thethree independent angles and one phase of the right-handed mixing matrix V^R.Under these constraints, another CP-violating parameter $\epsilon'/\epsilon$and electric dipole moment of neutron are shown to be consistent with the datain our model. The pattern of CP violation in the nonleptonic decay of$B_d(B_s)$ mesons to CP eigenstates is different from that in the StandardModel.Comment: 26 pages written in LaTex. Figures not included (hard copy available  upon request

Right-Handed b to c and u Coupling Model and CP Violation