An other proposed reaction is the study of inclusive single and di-jet production. The cross sections of these processes are large. These measurements, however, are difficult to analyze, since different partonic sub-processes contribute, like the GG fusion, qG scattering and annihilation and the sensitivity on the gluon polarization is not yet well established. Typically the GG process dominates at lower 's and covers the low region ( ). Also for this process the detection of both jets is important to calculate approximately the kinematics of the incoming partons and a large acceptance is then required. A sensitivity on from the study of di-jet events 3 times better than for the prompt- plus away-side jet production has been reported [4]. However, to our knowledge, no detailed study for this process, including for instance systematic effects, as extensive as the one for the prompt- plus away-side jet, has been yet presented.