Cross-Correlation of the X-Ray Background with Nearby Galaxies: Erratum

Astronomy and Astrophysics – Astronomy

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Errata, Addenda

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In the Letter "Cross-Correlation of the X-Ray Background with Nearby Galaxies" by Keith Jahoda, Ofer Lahav, Richard F. Mushotzky, & Elihu Boldt (ApJ, 378, L37, [1991]) there is an error in the evaluation of equation(5): the numerical constant is too small by a factor of 4.5 (the solid angle of the HEAO 1 A2 beam). The revised X-ray emissivity values (over the volume sampled by the UGC and ESO galaxies) are as follows. For UGC (using the median of Table 1) ρ_x_ = (10.5 +/- 6.0) x 10^38^ h_50_ ergs s^-1^ Mpc^-3^, where the error reflects the scatter in Table 1 and the uncertainty in R_*_, the effective depth of the catalogs (the Hubble constant is in units of H_0_ = 50 h_50_ km s^-1^ Mpc^-1^). Similarly for ESO ρ_x = (14.5 +/- 8.0) x 10^38^ h_50_ ergs s^-1^ Mpc^-3^. For the combined data (UGC and ESO)our revised value is the mean of the two samples,ρ_x_ = (12.5 +/- 7.0) x 10^38^ h_50_ ergs s^-1^ Mpc^-3^. This correction has important consequences for the discussion section of the paper. First, the fraction of the X-ray background which can be produced by nonevolving X-ray sources distributed out to high redshift (assuming a look-back factor of f=0.5) can be as large as 50% +/- 30% and 70% +/- 40% for UGC and ESO, respectively. Second, this measurement of ρ_x_ exceeds the upper limit calculated by E. Boldt (IAU Colloq. 123,451 [1990]) based on an approximation of the total extragalactic X-ray dipole, unless b{OMEGA}^-0.6^<~ 1.3, less than about half the value derived for bright X-ray AGNs by T. Miyaji & E. Boldt (ApJ, 353, L3 [1990]) and T. Miyaji, K. Jahoda, & E. Boldt (AIP Conf. Proc. 222,431 [1991]). However, an improved determination of the extragalactic X-ray dipole, now obtained by performing a direct vector sum of the all-sky X-ray data (excluding only points near known Galactic point sources and their antipodes and points with |b| < 20^deg^), and subtracting the high-latitude contribution predicted by the Galactic model of D. Iwan et al. (ApJ, 260,111 [1982]) and that arising from the Compton-Getting effect, gives an estimate (rather than an upper limit) that ρ_x_ ~ 30 x 10^38^ h_50_(b{OMEGA}^- 0.6^)^-1^ ergs s^-1^ Mpc^-3^, consistent with the revised volume emissivity estimated in this work and the same bias parameter deduced for the bright AGNs. These two results suggest that a substantial fraction of the X-ray background could be produced by present-epoch objects and that these have a bias parameter similar to or only slightly smaller than the X-ray bright AGNs. We would also like to point out a minor error after equation (3). The correct sentence should be "where W_gg_, a galaxy autocorrelation estimator defined in analogy to equation (1), is, for example, 023 and 0.24 for UGC and ESO, respectively (for 17 deg^2^ cells)." The rest of the calculation is as before. We thank Andy Fabian for bringing the error to our attention and Takamitsu Miyaji for discussion.

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