Optimal dimension of a layered hydrogen target for muon conversion and muonic x-ray spectroscopy

In spectroscopic studies of nuclei (muonic x-ray spectroscopy and muon conversion), layered solid hydrogen targets are of key importance. The paper develops a mathematical model to optimize the dimension of solid deuterium (degrader) layer in a layered hydrogen structure of H2/T2+sD2 to prepare muon for the creation of muonic atoms. Muonic object balance equations have been constructed and solved. All muonic molecular resonances have been taken into account. The results show good accordance with muon experiments.