Ph.D. Thesis Title ----- Observation of Diffractive J/Psi Production at the Fermilab Tevatron A thesis presented to the faculty of The Rockefeller University, 2001 by Andrei Solodsky Abstract -------- The first observation of diffractive $\jp(\rightarrow \mu^+\mu^-)$ production in $\bar pp$ collisions at $\sqrt{s}$=1.8~TeV is presented using data collected from the Collider Detector at Fermilab (CDF). In a sample of events with two muons of transverse momentum $P_T^{\mu}>2$ GeV/$c$ within the pseudorapidity region $|\eta|<$1.0, the ratio of diffractive to total $\jp$ production rates is found to be $R_{\jp}= (1.45\pm 0.25)\%$. Diffractive events are identified by their rapidity gap signature. The ratio $R_{\jp}$ is studied as a function of the momentum fraction $x_{\rm bj}$ of the struck parton in the (anti)proton. By combining this measurement with a similar one of diffractive dijet production with a leading antiproton, the gluon fraction of the (anti)proton diffractive structure is found to be $0.59\pm0.15$. These results are compared with reported results for diffractive $W$, dijet and $b$-quark production. Posted to /cdf/pub/thesis/cdf5664_solodsky_thesis.ps http://www-cdf.fnal.gov/thesis/cdf5664_solodsky_thesis.ps Posted by solodsky@cdfsga.fnal.gov