a Search for Quark Compositeness with the Cdf Detector at the Fermilab Collider.

The inclusive jet cross section in pp collisions at sqrt{s} = 1.8 TeV has been measured using jet clustering cone sizes of 0.4, 0.7 and 1.0. The cone size, R, is defined to be, R = sqrt{Deltaeta^2 + Delta phi^2}, where eta = -ln tan theta/2, phi represents the polar angle and phi represents the azimuthal angle. A lower limit on the value of the composite scale parameter, Lambda_{c}, was determined to be 1100 GeV at the 95% confidence level using the cone size 1.0. Comparisons to both leading order Quantum Chromo Dynamics (QCD) and next-to-leading order QCD calculations have been made and no significant deviations from QCD observed. The dependence of the inclusive jet cross section on cone size has also been compared to next-to-leading order QCD. The measured cross section was found to grow larger with increasing cone size, more quickly than next-to-leading order QCD predicts.