We report a measurement of the production cross section for b hadrons in p (p) over bar collisions at root s = 1.96 TeV. Using a data sample derived from an integrated luminosity of 83 pb(-1) collected with the upgraded Collider Detector (CDF II) at the Fermilab Tevatron, we analyze b hadrons, H-b, partially reconstructed in the semileptonic decay mode H-b -> mu(-DX)-X-0. Our measurement of the inclusive production cross section for b hadrons with transverse momentum p(T) > 9 GeV/c and rapidity vertical bar y vertical bar < 0.6 is sigma 1.30 mu b +/- 0.05 mu b(stat) +/- 0.14 mu b(syst) +/- 0.07 mu b(B), where the uncertainties are statistical, systematic, and from branching fractions, respectively. The differential cross sections d sigma/dp(T) are found to be in good agreement with recent measurements of the Hb cross section and well described by fixed-order next-to-leading logarithm predictions. RI Ruiz, Alberto/E-4473-2011; Robson, Aidan/G-1087-2011; De Cecco, Sandro/B-1016-2012; Prokoshin, Fedor/E-2795-2012
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