Double Logarithmic Terms $l{n}^{2}x$ in the Heavy Quark Production $\sigma (P\bar{P}\to h\bar{h})-\sigma (PP\to h\bar{h})$ Cross Sections

Predictions for the difference of proton-antiproton and proton-proton cross sections in the heavy quark production within LO DGLAP analysis together with the $l{n}^{2}x$ terms resummation are presented. An important role of the double logarithmic $l{n}^{2}x$ corrections in a case of the large rapidity gap between a quark and an antiquark is discussed.