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PhD Thesis (PDF) - Department of Astronomy - University of Virginia

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eak at greater than 5 × 10 38 ergs s −1 could not be excluded.<br />

In Sarazin et al. (2000), we argued that a break luminosity similar to the Ed-<br />

dington luminosity <strong>of</strong> a 1.4M⊙ spherically accreting neutron star indicated that the<br />

LMXBs above the break contain accreting black holes. The large luminosities <strong>of</strong> the<br />

cut<strong>of</strong>f or broken power-laws for NGC 1316, NGC 4365, and NGC 4382 seem less<br />

consistent with this interpretation, barring a large error in the distance.<br />

In the luminosity function <strong>of</strong> NGC 4382, the best-fit clearly misses the brightest<br />

source, source 38. Since source 38 is a bright background AGN, this is not indicative<br />

<strong>of</strong> a poor fit.<br />

2.4.4 Hardness Ratios<br />

We determined X-ray hardness ratios for the sources, using the same techniques<br />

and definitions we used previously (Sarazin et al. 2000, 2001; Blanton et al. 2001; Irwin<br />

et al. 2002). Hardness ratios or X-ray colors are useful for crudely characterizing the<br />

spectral properties <strong>of</strong> sources, and can be applied to sources that are too faint for<br />

detailed spectral analysis. We define two hardness ratios as H21 ≡ (M − S)/(M + S)<br />

and H31 ≡ (H −S)/(H +S), where S, M, and H are the total counts in the s<strong>of</strong>t (0.3–1<br />

keV), medium (1–2 keV), and hard (2–10 keV) bands, respectively. Since the hardness<br />

ratios measure observed counts, Galactic absorption, as well as QE degradation, must<br />

be taken into account when interpreting the ratios. The hardness ratios and their 1 σ<br />

errors are listed in columns (9) and (10) <strong>of</strong> Tables 2.1 and 2.2. Figure 2.4 plots H31<br />

versus H21 for the 48 and 39 sources <strong>of</strong> NGC 4365 and NGC 4382, respectively, with<br />

at least 20 net counts. The hardness ratios for the sum <strong>of</strong> those sources are (H21,<br />

H31) = (0.04, −0.25) for NGC 4365 and (0.02, −0.25) for NGC 4382. Sources with<br />

∼40 net counts had errors similar to the median <strong>of</strong> the uncertainties, ∼0.26. The<br />

34

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