Multiple Gluon Effects in q + q̄ → t + t̄ + X at FNAL Energies : Semi - Analytical Results a

We apply our Yennie-Frautschi-Suura exponentiated cross section formulas for the parton processes q + (¯ q)′ → q ′′ + (¯ q)′′′ + n(G) to the process q + ¯ q → t + ¯ t + n(G) at FNAL energies, where G is a QCD gluon. We use semi-analytical methods to compute the ratio r exp = σ exp /σ B , where σ exp is our soft gluon YFS exponentiated cross section and σ B is the Born cross section. For m t = 0.176(0.199)TeV, we get r exp = 1.65(1.48), respectively, for q = u for example. These results are not inconsistent with the recent observations by CDF and D0.