Measurement of the $t\bar{t}$ cross section and spin correlation in the dilepton channel with the D0 detector

One remarkable property of top quarks is their short lifetime. Therefore the spin correlation between the top and anti-top produced in $p\bar{p}$ collisions is not degraded by hadronization. We determine the production cross section and spin correlation of $t\bar{t}$ quark pairs decaying in the dilepton mode. In this decay channel, both leptons can be used to analyze the spin correlation. Moreover, physics and instrumental background can be suppressed to a great extent. This analysis is based on data taken with the D0 Detector at the Fermilab Tevatron $p\bar{p}$-collider at a center-of-mass energy of 1.96 TeV. The data corresponding to an integrated luminosity of about 1.1 fb$^ {-1}$ were recorded in the years 2002 to 2006.