Since March 2001 a new period of CDF data taking (called Run II)
began at the p anti-p Tevatron collider.  The upgrade of Collider Detector at
Fermilab improved the tracking system: the vertexing, triggering and
particle identification capabilities.  This has allowed a further
development of B physics, because the B_s and Lambda_b are produced in
hadronic collisions.  Here measurements of the mass and lifetime of Lambda_b
in two decay channels are presented.  Using particle identification (PID)
information from the time of flight and the dE/dx, CDF performed pentaquark
searches for Theta+, Xi--,0_3/2 and Theta0_c, following the recent
interest in exotic baryon spectroscopy.