Analytical Representation of the Longitudinal Hadronic Shower Development

The analytical representation of the longitudinal hadronic shower development from the face of a calorimeter is presented and compared with experimental data. The suggested formula is particularly useful at designing, testing and calibration of huge calorimeter complex like in ATLAS at LHC. One of the important questions of hadron calorimetry is the question of the longitudinal development of hadronic showers [1]. For analysing of energy depositions in various depths of calorimeters it is necessary to have the analytical representation of longitudinal shower development from the face of calorimeter. Such formula is particularly useful at designing, testing and calibration of huge calorimeter complex like in ATLAS [2] at LHC. There is well known parameterisation of longitudinal shower development from shower origin suggested by Bock et al. [3]: dEs(x) dx = k { w ( x Xo )a−1 e x Xo + (1− w) ( x λI )a−1 e −d x λI }