On the Fraction of X-ray Weak Quasars from the Sloan Digital Sky Survey

We investigate systematically the X-ray emission from type 1 quasars using a sample of 1825 Sloan Digital Sky Survey (SDSS) non-broad absorption line (non-BAL) quasars with Chandra archival observations. A significant correlation is found between the X-ray-to-optical power-law slope parameter ($\alpha_{\rm OX}$) and the 2500 $\r{A}$ monochromatic luminosity ($L_{\rm 2500~\r{A}}$), and the X-ray weakness of a quasar is assessed via the deviation of its $\alpha_{\rm OX}$ value from that expected from this relation. We demonstrate the existence of a population of non-BAL X-ray weak quasars, and the fractions of quasars that are X-ray weak by factors of $\ge6$ and $\ge10$ are $5.8\pm0.7\%$ and $2.7\pm0.5\%$, respectively. We classify the X-ray weak quasars (X-ray weak by factors of $\ge6$) into three categories based on their optical spectral features: weak emission-line quasars (WLQs; CIV REW $<16~\r{A}$), red quasars ($\Delta(g-i)>0.2$), and unclassified X-ray weak quasars. The X-ray weak fraction of $35_{- 9}^{+12}\%$ within the WLQ population is significantly higher than that within non-WLQs, confirming previous findings that WLQs represent one population of X-ray weak quasars. The X-ray weak fraction of $13_{- 3}^{+ 5}\%$ within the red quasar population is also considerably higher than that within the normal quasar population. The unclassified X-ray weak quasars do not have unusual optical spectral features, and their X-ray weakness may be mainly related to quasar X-ray variability.