Perturbative QCD application in FAIR In FAIR CBM scenario i.e at high density will be perturbative QCD applicable? 
 A: PQCD is only applicable at really high energy and FAIR CBM experiment will have quite low energy and finite baryonic density. 
As it is said on the official doc :
http://www.fair-center.eu/fileadmin/fair/publications_FAIR/FAIR_BTR_3a.pdf
Low energy model will be available to compare data, but in my opinion, lattice QCD is the best tool available to discuss results at FAIR and to probe the phase transition between hadronic matter and the QGP.
However, it might still be possible to use pQCD for some initial collision and to try to understand energy loss mechanisms at finite density.
A: 
Perturbative QCD  is a subfield of particle physics in which the theory of strong interactions, Quantum Chromodynamics (QCD), is studied by using the fact that the strong coupling constant $\alpha_s$ is small in high energy or short distance interactions, thus allowing Perturbation theory techniques to be applied

It has been used for high energies, and is projected to be used in ultra relativistic ion collisions. Google  ion ion collisions and perturbative QCD and a number of articles appear. The answer by JSFDude covers the  case of CBM . The energies of 1-15 GeV antiprotons  are too low to allow QCD studies with perturbative techniques.
