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

Abstract

We present a new open-source software for the integration of the radial Dirac equation developed specifically with muonic atoms in mind. The software, called mudirac, is written in C++ and can be used to predict frequencies and probabilities of the transitions between levels of the muonic atom. In this way, it provides an invaluable tool in helping with the interpretation of muonic X-ray spectra for elemental analysis. We introduce the details of the algorithms used by the software, show the interpretation of a few example spectra and discuss the more complex issues involved with predicting the intensities of the spectral lines. The software is available publicly at https://github.com/muon-spectroscopy-computational-project/mudirac.