... An extended set of observables of the nuclear quasi-free (p, d + ) reaction including the triple differential cross-section for coincidence measurements, its analyzing power in case of polarized proton beams and, also, the parameters of the polarization of the excited recoil nucleus and the produced deuteron are considered in the framework of the distorted-wave impulse approximation using the reaction 16 O(p, d + )15 N at a proton energy of 650 MeV as an example. ...