The search for photons at EeV ener
gies and beyond has considerable astrophysical interest and will remain one of the key challen
ges for ultra-hi
gh ener
gy cosmic ray (UHECR) observatories in the near future. Several upper limits to the photon flux have been established since no photon has been unambi
guously observed up to now. An improvement in the reconstruction efficiency of the photon showers and/or better discrimination tools are needed to improve these limits apart from an increase in statistics. Followin
g this direction, we analyze in this work the ability of the surface parameter , ori
ginally proposed for hadron discrimination, for photon search.
Semi-analytical and numerical studies are performed in order to optimize for the discrimination of photons from a proton background in the energy range from to eV. Although not shown explicitly, the same analysis has been performed for Fe nuclei and the corresponding results are discussed when appropriate. The effects of different array geometries and the underestimation of the muon component in the shower simulations are analyzed, as well as the dependence on primary energy and zenith angle.