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Comments on the radial distribution of charged particles in a magnetic field

Magnetic guiding fields in combination with energy dispersive semiconductor detectors have been employed already more than 50 years ago for in-beam internal conversion electron spectroscopy. Even then it was recognized that efficiency modulations may appear as function of the electron energy, arising when electrons hit a baffle or miss the sensitive area of the detector. Current high precision beta decay experiments of polarized neutrons with conceptional similar experimental devices resulted in a detailed study of the point spread function (PSF). The latter describes the radial probability distribution of mono-energetic electrons at the detector plane. Singularities occur as function of the radial detector coordinate which have been investigated and discussed by Sjue at al. (Rev. Scient. Instr. 86, 023102 (2015)), and Dubbers (arXiv:1501.05131v1 [physics.ins-det]). In this comment a rather precise numerical representation of the PSF is presented and compared with approximations in the mentioned papers.