Measurement of the $B^{+}$ total cross section and $B^{+}$ differential cross section $d\sigma {/dp}_T$ in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\hspace{0.5em}\mathrm{TeV}$

We present measurements of the $B^{+}$ meson total cross section and differential cross section $d\sigma {/dp}_T.$ The measurements use a $98\pm 4$ ${\mathrm{pb}}^{-1}$ sample of $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\hspace{0.5em}\mathrm{TeV}$ collected by the CDF detector. Charged B meson candidates are reconstructed through the decay $B^{\pm }\to J/\psi K^{\pm }$ with $J/\overrightarrow{\psi }{\mu }^{+}{\mu }^{-}.$ The total cross section, measured in the central rapidity region $|y|<1.0\mathrm{}$ for $p_T\mathrm{}\left(B\right)>6.0\mathrm{}\hspace{0.5em}\mathrm{GeV}/c,$ is $3.6\pm 0.6(\mathrm{stat}\oplus \hspace{0.5em}\mathrm{syst})\hspace{0.5em}\mu \mathrm{b}.$ The measured differential cross section is substantially larger than typical QCD predictions calculated to next-to-leading order.