The XMM-Newton/2dF survey -: II.: The nature of X-ray-faint optically bright X-ray sources

In this paper we investigate the properties of low X-ray-to-optical flux ratio sources detected in a wide-area (2.5 deg(2)) shallow [f(X)(0.5-8 keV) approximate to 10(-14) erg s(-1) cm(-2)] XMM-Newton survey. We find a total of 26 sources (5 per cent of the total X-ray-selected population) with log f(X)/f(opt) < 0.9 to the above flux limit. Optical spectroscopy is available for 20 of these low X-ray-to-optical flux ratio objects. Most of them are found to be associated with Galactic stars (a total of eight) and broad-line active galactic nuclei (AGNs; a total of eight). We also find two sources with optical spectra showing absorption and/or narrow emission lines and X-ray/optical properties suggesting AGN activity. Another two sources are found to be associated with low-redshift galaxies with narrow emission-line optical spectra, X-ray luminosities L-X(0.5-8 keV) approximate to 10(41) erg s(-1) and logf(X)/f(opt) approximate to 2 suggesting 'normal' star-forming galaxies. Despite the small-number statistics the sky density of 'normal' X-ray-selected star-forming galaxies at the flux limit of the present sample is low, consistent with previous ROSAT High-Resolution Imager (HRI) deep surveys. Also, the number density estimated here is in good agreement with both the log N-log S of 'normal' galaxies in the Chandra Deep Field North (extrapolated to bright fluxes) and model predictions based on the X-ray luminosity function of local star-forming galaxies.