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An Analytical Approach to Fluctuations in Showers

Astrophysics 2009-10-28 v1

Abstract

We review the problem of fluctuations in particle shower theory. By using a generalization of Furry equation, we find relations between the nn--particle correlation function and the number of particles average or 1--particle correlation function. Such relations show that the average is the only independent dynamical variable. We also develop a numerical code to solve the equation for the correlation functions and compare the results with those from a Montecarlo simulation which show a perfect agreement between both methods.

Keywords

Cite

@article{arxiv.astro-ph/9607074,
  title  = {An Analytical Approach to Fluctuations in Showers},
  author = {R. A. Vázquez},
  journal= {arXiv preprint arXiv:astro-ph/9607074},
  year   = {2009}
}

Comments

18 pages Latex file and 3 PS figures. Uses Revtex and epsfig.sty Accepted for publication in Astroparticle Physics