The study of the top quark pair production mechanism in proton-antiproton collisions at a center-of-mass energy of 1.96 TeV is described. The main subjects are the measurements of the top quark pair production cross section, the top quark mass and a search for a new particle decaying to the top quark pair. The analyses are based on 1.9 fb(sup -1) of data collected by the Collider Detector at Fermilab (CDF) Run II experiment between March 2002 and May 2007, using the lepton+jets events. The measured top quark pair production cross section is 8.2 (+-) 0.5 (stat.) (+-) 0.8 (syst.) (+-) 0.5 (lum.) pb, which is slightly higher than the standard model prediction at the top mass of 175 GeV/c(sup 2). The top quark mass is an important parameter in the standard model, and also in the experimental studies. The measured top quark mass if 171.6 (+-) 2.0 (stat.) (+-) 1.3(syst.) GeV/c(sup 2). Finally, they report on a search for a new gauge boson decaying to t(bar t), which interferes with the standard model gluon in the q(bar q) (yields) t(bar t) production process.