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Title: Note: Precise radial distribution of charged particles in a magnetic guiding field

Current high precision beta decay experiments of polarized neutrons, employing magnetic guiding fields in combination with position sensitive and energy dispersive detectors, resulted in a detailed study of the mono-energetic point spread function (PSF) for a homogeneous magnetic field. A PSF describes the radial probability distribution of mono-energetic electrons at the detector plane emitted from a point-like source. With regard to accuracy considerations, unwanted singularities occur as a function of the radial detector coordinate which have recently been investigated by subdividing the radial coordinate into small bins or employing analytical approximations. In this note, a series expansion of the PSF is presented which can numerically be evaluated with arbitrary precision.
Authors:
 [1]
  1. Institute for Nuclear Physics, Johannes Gutenberg-University Mainz, D-55099 Mainz (Germany)
Publication Date:
OSTI Identifier:
22483270
Resource Type:
Journal Article
Resource Relation:
Journal Name: Review of Scientific Instruments; Journal Volume: 86; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; ACCURACY; APPROXIMATIONS; BETA DECAY; CHARGED PARTICLES; COORDINATES; MAGNETIC FIELDS; NEUTRONS; SERIES EXPANSION; SPATIAL DISTRIBUTION; TAIL ELECTRONS