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00925njm 22002777a 4500 dc Arganda, E. author Arqueros Martínez, Fernando author Blanco Ramos, Francisco author García Pinto, Diego author 2011-12 In this paper we introduce the concept of Lateral Trigger Probability (LTP) function, i.e., the probability for an Extensive Air Shower (EAS) to trigger an individual detector of a ground based array as a function of distance to the shower axis, taking into account energy, mass and direction of the primary cosmic ray. We apply this concept to the surface array of the Pierre Auger Observatory consisting of a 1.5 km spaced grid of about 1600 water Cherenkov stations. Using Monte Carlo simulations of ultra-high energy showers the LTP functions are derived for energies in the range between 10(17) and 10(19) eV and zenith angles up to 65 degrees. A parametrization combining a step function with an exponential is found to reproduce them very well in the considered range of energies and zenith angles. The LTP functions can also be obtained from data using events simultaneously observed by the fluorescence and the surface detector of the Pierre Auger Observatory (hybrid events). We validate the Monte Carlo results showing how LTP functions from data are in good agreement with simulations. 0927-6505 10.1016/j.astropartphys.2011.08.001 https://hdl.handle.net/20.500.14352/45088 http://dx.doi.org/10.1016/j.astropartphys.2011.08.001 http://arxiv.org/abs/1111.6645 http://www.sciencedirect.com/ The Lateral Trigger Probability function for the Ultra-High Energy Cosmic Ray showers detected by the Pierre Auger Observatory