1. A logging tool comprising: a stabilization source configured to emit a first plurality of gamma rays; a logging source configured to emit a second plurality of gamma rays; a gamma ray detector configured to collect: the first plurality of gamma rays emitted by the stabilization source; and a third plurality of gamma rays including reflections from a formation of the second plurality of gamma rays emitted by the logging source; and an analysis module including instructions on a non-transitory computer-readable medium, the instructions, when loaded and executed by a processor, configure the analysis module to: calculate an energy spectrum of the first and third pluralities of gamma rays collected by the gamma ray detector; determine a photopeak associated with the first plurality of gamma rays in the energy spectrum, the photopeak having a higher energy than the third plurality of gamma rays; and perform resolution calculations using the photopeak to determine a resolution of the gamma ray detector.