Studies of quarkonia production with CDF

In the 1988--89 collider run the authors studied the reactions p anti p→J/ψ(ψ(2S))X→μ+μ-X by using 2.6 ± 0.2 pb-1 of data. This allowed them to shed some light on the quarkonia production mechanisms at the Tevatron energy. The production mechanisms of the J/ψ's (ψ(2S)'s) are B decays, direct charmonium production and the recently suggested gluon fragmentation. They have also reconstructed χc mesons through the decay chain χc→J/ψγ, J/ψ→μ+μ- using the same data set. In the 1992--93 run they have approximately a factor of 5 more J/ψ's per pb-1 than in the previous run. They show the J/ψ mass spectrum from a 12 pb-1 sample which represents ca 60% of the 1992--93 data. From the measurement of the average b lifetime with inclusive J/ψ's they have indications that the fraction of J/ψ's coming from b's is lower than the one they assumed in the previous run. With the new data set they are also reconstructing a respectable sample of χc decays. This sample will be used to measure the fraction fχ and to cross check the fraction fb measured with the SVX. Since they can now measure the J/ψ differential cross section from b's and from χc's, it will be much easier to disentangle the different J/ψ production mechanisms. The authors know that several of the 1988--89 CDF b-quark cross section measurements were statistically limited or were derived under certain assumptions; they expect that the analysis of the data set they collected during the 1992--93 run will shed light onto the problem. From (14.3±1.0) pb-1 of the 1992--93 data they also reconstructed 104±21 J/ψK± and 26±8 J/ψK0* events for PTB>6.0 GeV/c and PTB>9.0 GeV/c respectively. The corresponding b-quark cross sections are given