An approximation of the ideal scintillation detector line shape with a generalized gamma distribution

TL;DR

This paper proposes using a generalized gamma distribution to more accurately approximate the line shape of scintillation detectors, outperforming the traditional normal distribution by leveraging the first two moments for parameter determination.

Contribution

It introduces a novel approximation method for scintillation detector line shapes using a generalized gamma distribution with parameters derived from moments.

Findings

Better fit to real detector line shapes than normal distribution

Parameters uniquely determined by the first two moments

Improved modeling of scintillation detector responses

Abstract

An approximation of the real line shape of a scintillation detector with a generalized gamma distribution is proposed. The approximation describes the ideal scintillation line shape better than the conventional normal distribution. Two parameters of the proposed function are uniquely defined by the first two moments of the detector response.