Measurement of the angular and lifetime parameters of the decays $B_d^0\to J\mathrm{/}\psi K^{\ast 0}$ and $B_s^0\to J\mathrm{/}\psi \varphi$

We present measurements of the linear polarization amplitudes and the strong relative phases that describe the flavor-untagged decays $B_{d}^{0}\to J/\psi K^{*0}$and$B_{s}^{0}\to J/\psi\phi$ in the transversity basis. We also measure the mean lifetime ${\bar{\tau }}_s$ of the $B_s^0$ mass eigenstates and the lifetime ratio ${\bar{\tau }}_s\mathrm{/}{\tau }_d$. The analyses are based on approximately 2.8 fb${}^{-1}$ 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 $B_d^0\to J\mathrm{/}\psi K^{\ast 0}$ decay.