Measurement of the Angular and Lifetime Parameters of the Decays B{sub d}{sup 0}{yields}J/{psi}K*{sup 0} and B{sub s}{sup 0}{yields}J/{psi}{phi}

We present measurements of the linear polarization amplitudes and the strong relative phases that describe the flavor-untagged decays B{sub d}{sup 0}{yields}J/{psi}K*{sup 0} and B{sub s}{sup 0}{yields}J/{psi}{phi} in the transversity basis. We also measure the mean lifetime {tau}{sub s} of the B{sub s}{sup 0} mass eigenstates and the lifetime ratio {tau}{sub s}/{tau}{sub d}. The analyses are based on approximately 2.8 fb{sup -1} of data recorded with the D0 detector. From our measurements of the angular parameters we conclude that there is no evidence for a deviation from flavor SU(3) symmetry for these decays and that the factorization assumption is not valid for the B{sub d}{sup 0}{yields}J/{psi}K*{sup 0} decay.