A Study of Some Properties Which Determine the Resolution of a Lead-Scintillator Sandwich Electromagnetic Shower Detector

Using the 10-50 GeV test beam at Fermilab we have studied the resolution of a lead-scintillator sampling shower counter system as a function of energy, sampling thickness, and photostatistics to confirm a design formula (σ/E)2 = at/E + 1/N + other contributions, where t is the thickness of a sample measured in radiation lengths, N is the number of photoelectrons, σ is the rms energy resolution, and E is the incident energy.