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We present a new open source software for the integration of the radial Diracequation developed specifically with muonic atoms in mind. The software, calledmudirac, is written in C++ and can be used to predict frequencies andprobabilities of the transitions between levels of the muonic atom. In thisway, it provides an invaluable tool in helping with the interpretation ofmuonic X-ray spectra for elemental analysis. We introduce the details of thealgorithms used by the software, show the interpretation of a few examplespectra, and discuss the more complex issues involved with predicting theintensities of the spectral lines. The software is available publicly athttps://github.com/muon-spectroscopy-computational-project/mudirac.

Mudirac: A Dirac equation solver for elemental analysis with muonic X‐rays