Quark CP-Phase and Froggatt-Nielsen Mechanism

On the basis of the Froggatt-Nielsen mechanism, we study quark flavor mixings in the $SU(6)\times SU(2{)}_R$ model. The characteristic structure of the CKM matrix is attributed to the hierarchical effective Yukawa couplings due to the Froggatt-Nielsen mechanism and also to the state-mixings beyond the MSSM. We elucidate the detailed form of the CKM matrix elements and find interesting relations between the $\mathit{\text{CP}}$ violating phase and three mixing angles. Taking the existing data of three mixing angles, we estimate the quark $\mathit{\text{CP}}$-phase at $\delta =(75\pm 3{)}^{\circ }$. This result is in accord with observations.