Inclusive<i>J</i>/ψ, ψ(2<i>S</i>), and<i>b</i>-quark production in<i>p</i>¯<i>p</i>collisions at √<i>s</i>=1.8 TeV

Inclusive J/\ensuremath{\psi} and \ensuremath{\psi}(2S) production has been studied in p\ifmmode\bar\else\textasciimacron\fi{}p collisions at \ensuremath{\surd}s =1.8 TeV using 2.6\ifmmode\pm\else\textpm\fi{}0.2 ${\mathrm{pb}}^{\mathrm{\ensuremath{-}}1}$ of data taken with the Collider Detector at Fermilab. The products of production cross section times branching fraction were measured as functions of ${\mathit{P}}_{\mathit{T}}$ for J/\ensuremath{\psi}\ensuremath{\rightarrow}${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$ and \ensuremath{\psi}(2S)\ensuremath{\rightarrow}${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$. In the kinematic range ${\mathit{P}}_{\mathit{T}}$&gt;6 GeV/c and \ensuremath{\Vert}\ensuremath{\eta}\ensuremath{\Vert}\ensuremath{\le}0.5 we get \ensuremath{\sigma}(p\ifmmode\bar\else\textasciimacron\fi{}p\ensuremath{\rightarrow}J/\ensuremath{\psi} X)B(J/\ensuremath{\psi}\ensuremath{\rightarrow}${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$) =6.88\ifmmode\pm\else\textpm\fi{}0.23(stat${)}_{\mathrm{\ensuremath{-}}1.08}^{+0.93}$(syst) nb, and \ensuremath{\sigma}(p\ifmmode\bar\else\textasciimacron\fi{}p\ensuremath{\rightarrow}\ensuremath{\psi}(2S)X)B(\ensuremath{\psi}(2S)\ensuremath{\rightarrow}${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$) =0.232\ifmmode\pm\else\textpm\fi{}0.051(stat${)}_{\mathrm{\ensuremath{-}}0.032}^{+0.029}$(syst)nb. From these values we calculate the inclusive b-quark production cross section.