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We report on a measurement of $b$-hadron lifetimes in the fully reconstructed decay modes B^+ -->J/Psi K+, B^0 --> J/Psi K*, B^0 --> J/Psi Ks, and Lambda_b --> J/Psi Lambda using data corresponding to an integrated luminosity of 4.3 ${\rm fb}^{-1}$, collected by the CDF II detector at the Fermilab Tevatron.
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CDF II uses a cylindrical coordinate system in which ϕ \phi is the azimuthal angle, r r is the radius from the nominal beamline, and z z points in the proton beam direction with the origin at the center of the detector. The transverse plane is the plane perpendicular to the z z axis. The x ^ {\hat{x}} axis points outward from the accelerator ring, and the y ^ {\hat{y}} axis points upwards
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