Lateral distribution and the energy determination of showers along the ankle

2007/08/01 by G. Ros, Ros, G., G. A. Medina-Tanco +18
Medicine · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Orbital Angular Momentum in Optics #Radiation Therapy and Dosimetry #astro-ph

paper · pdf · doi:10.48550/arxiv.0708.0227

4 pages, 4 figures, Proceedings of the 30th International Cosmic Ray Conference, Merida (2007), México

arxiv created 2007/08/01 · openalex publication_date 2007/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The normalization constant of the lateral distribution function (LDF) of an extensive air shower is a monotonous (almost linear) increasing function of the energy of the primary. Therefore, the interpolated signal at some fixed distance from the core can be calibrated to estimate the energy of the shower. There is, somehow surprisingly, a reconstructed optimal distance, r_opt, at which the effects on the inferred signal, S(r_opt), of the uncertainties on true core location, LDF functional form and shower-to-shower fluctuations are minimized. We calculate the value of r_opt as a function of surface detector separation, energy and zenith angle and we demonstrate the advantage of using the r_opt value of each individual shower instead of a same fixed distance for every shower, specially in dealing with events with saturated stations. The effects on the determined spectrum are also shown.

Related

• Alternative energy estimation from the shower lateral distribution function
• The Lateral Distribution Function of Shower Signals in the Surface Detector of the Pierre Auger Observatory
• The Use of the Signal at an Optimal Distance from the Shower Core as a Surrogate for Shower Size
• Lateral distribution of radio signal measured in showers with energy 5*10¹6-10¹8 eV at the Yakutsk EAS array
• Measurement of the Lateral Distribution Function of UHECR Air Showers\n with the Pierre Auger Observatory