X-ray spectral indices of the Fermi/LAT blazars

In this work, we analyze the X-ray spectral indices of the 245 Fermi-detected blazars. Relations between the γ-ray emission and the X-ray emission are our research focuses. Our analysis shows that: (1) the X-ray spectral indices of the Fermi/LAT-detected-blazars (αX|Fermi), have similar distributions with those of non-Fermi-detected blazars (αX|non-Fermi), and the averaged value \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\overline{\alpha_{X|Fermi}}\simeq\overline{\alpha_{X|non\mbox{-}Fermi}}$\end{document}; (2) X-ray spectral indices are strong anti-correlated with the logarithmic Doppler factors, log(δ)=−(0.27±0.10)αX+(1.09±0.14), with the correlative coefficient R=−0.33, the chance probability P=1.9 %; (3) X-ray spectral indices (αX) and γ-ray spectral indices (αγ) show strong anti-correlation, αX=−(0.62±0.11)αγ+(1.91±0.12), R=−0.35, P<0.001 %.