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In this letter, a new strategy to enhance the discrimination of high energygamma rays from the huge charged cosmic rays background in large cosmic raysground arrays is presented. This strategy is based on the introduction of a newsimple variable, $P_{\gamma h}^{\alpha}$, which combines the probability oftagging muons and/or very energetic particles in each single array station. Thediscrimination power of this new variable, particularly important for and abovemulti-TeV energies, is illustrated for a few specific examples in the case of ahypothetical water Cherenkov detector cosmic ray array, both in the case of lowand high particle stations occupancy. The results are very encouraging andhopefully will be demonstrated in the present and future gamma-rayObservatories.

$P_{\gamma h}^{\alpha}$: a new variable for $\gamma / {\rm h}$ discrimination in large gamma-ray ground arrays