Dear collaborators, I am posting the final version of my Ph.D. thesis. The title and abstract are given below. Regards, Hosai Nakada University of Tsukuba Measurement of the Diffractive Structure Function of the Antiproton in 1.8-TeV Proton-Antiproton Collisions We present the measurement of the diffractive structure function of the antiproton in proton-antiproton collisions at the center-of-mass energy of 1.8 TeV. The data were collected during the 1995-1996 Tevatron collider run using the Collider Detector at Fermilab~(CDF). Diffractive events are characterized by the recoil $\bar{p}$ and the forward rapidity gap in the fnal state. In order to tag the recoil $\bar{p}$, we installed a Roman-pot type antiproton spectrometer~(RPS), and using the forward calorimeter and the beam-beam counter, we identify the rapidity gap. In order to identify a hard collision, we require the presence of two or more jets. In this analysis, we calculate the hard scale in the interaction~($Q^2$), the momentum fraction of antiproton carried by struck parton~($\xpb$), and the fractional momentum of the struck parton in the exchanged object~($\beta$). We obtained the diffractive structure function as a function of $\beta$ and $Q^2$ in the kinematic region of $0.035\leq\xi\leq 0.095$ and $|t|\leq 1$ GeV${}^2$. We observe no $Q^2$ dependence in the diffractive structure function of the antiproton in the $Q^2$ region measured in this study. This is consistent with the H1 result at HERA $ep$ collider experiment. The absolute value of the diffractive structure function measured at CDF is smaller than that of the H1 result by, approximately, a factor of 1/7. The discrepancy is also observed in other results at CDF such as the diffractive W and b-quark production where the cross section is about 20\% of the prediction using the Donnachie-Landshoff pomeron flux. These results suggest that the diffractive cross section is not described by using the universal diffractive structure function of the antiproton. Posted to /cdf/pub/thesis/cdf5589_sd_struct_thesis.ps http://www-cdf.fnal.gov/thesis/cdf5589_sd_struct_thesis.ps Posted by hosai@cdfsga