The Gaisser–Hillas function is used in astroparticle physics.
It parameterizes the longitudinal particle density in a cosmic ray air shower.
The function was proposed in 1977 by Thomas K. Gaisser and Anthony Michael Hillas.
as a function of traversed atmospheric depth
is maximum number of particles observed at depth
are primary mass and energy dependent parameters.
the function can be written in an alternative one-parametric (m) form[2] as Gaisser, T.K.
"Reliability of the method of constant intensity cuts for reconstructing the average development of vertical showers".
Cosmic Ray Conf., 13–26 Aug 1977.
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