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We performed a Geant4 simulation study on showers generated by electrons andhadrons in a large homogeneous calorimeter. We found that the energy depositcan be expressed as a linear function of the track length. The line does notpass through the origin, and the energy deposit at the intercept isproportional to the incident energy. Moreover, for both electrons and hadrons,the slope of the line is independent of the incident energy. The energyresolution of the calorimeter can be expressed in terms of the distributionaround the correlation line, which we found to be very good at about $ 19\% /\sqrt{E(\rm{GeV})}$ for pions.

A relation between track length and deposited energy in a homogeneous calorimeter by Geant4 simulation at high energy