$B$ Meson Lifetimes in $B \to J/\psi X$ Modes

Lifetimes of four species of $b$-hadrons are measured with the CDF detector at the Tevatron Collider in exclusive final states containing a $J/\psi$. The $B^0$ and $B^+$ meson lifetimes are individually measured with precision approaching the 1\% level. We present lifetimes and lifetime ratios for those states. The same techniques used for the precision measurement of $B^0$ and $B^+$ are applied to the $B^0_s$~meson and $\Lambda_b$~baryon, both produced only at the Tevatron. We also present new lifetime measurements for these $b$-hadrons.