Hadronic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ϒ</mml:mi></mml:math>production, parton distributions, and quantum chromodynamics

Abstract

Using the combined version of light-quark ($q\overline{q}\ensuremath{\rightarrow}b\overline{b}$) and gluon-gluon ($\mathrm{gg}\ensuremath{\rightarrow}b\overline{b}$) fusion mechanisms for hadronic $\ensuremath{\Upsilon}(9.5)$ production, we give predictions for ${x}_{F}$ distributions using pion and proton beams, and for various total-cross-section beam ratios. In addition, we make a detailed comparison of counting-rule-like nucleonic and pionic parton distributions with those predicted by dynamical quantum-chromodynamics (QCD) calculations, and give analytic parametrizations of their QCD $x$ and ${Q}^{2}$ dependence.