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Simultaneous distribution between the deflection angle and the lateral displacement under the Molière theory of multiple scattering

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Abstract.

Simultaneous distribution between the deflection angle and the lateral displacement of fast charged particles traversing through matter is derived by applying numerical inverse Fourier transforms on the Fourier spectral density solved analytically under the Molière theory of multiple scattering, taking account of ionization loss. Our results show the simultaneous Gaussian distribution at the region of both small deflection angle and lateral displacement, though they show the characteristic contour patterns of probability density specific to the single and the double scatterings at the regions of large deflection angle and/or lateral displacement. The influences of ionization loss on the distribution are also investigated. An exact simultaneous distribution is derived under the fixed energy condition based on a well-known model of screened single scattering, which indicates the limit of validity of the Molière theory applied to the simultaneous distribution. The simultaneous distribution will be valuable for improving the accuracy and the efficiency of experimental analyses and simulation studies relating to charged particle transports.

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Authors and Affiliations

  1. Laboratory of Information Science, Okayama Shoka University, 700-8601, Okayama, Japan

    Takao Nakatsuka

  2. Dept. of Information Sciences, Kawasaki Medical School, 701-0192, Kurashiki, Japan

    Kazuhide Okei

  3. Dept. of Fundamental Science, Faculty of Science, Okayama university of Science, 700-0005, Okayama, Japan

    Atsushi Iyono

  4. Dept. Nuclear Engineering and Radiological Sciences, Univ. of Michigan, 48109-2104, Ann Arbor, MI, USA

    Alex F. Bielajew

Authors
  1. Takao Nakatsuka
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  2. Kazuhide Okei
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  3. Atsushi Iyono
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  4. Alex F. Bielajew
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Corresponding author

Correspondence to Takao Nakatsuka.

Additional information

Communicated by M. Anselmino

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Nakatsuka, T., Okei, K., Iyono, A. et al. Simultaneous distribution between the deflection angle and the lateral displacement under the Molière theory of multiple scattering. Eur. Phys. J. A 51, 161 (2015). https://doi.org/10.1140/epja/i2015-15161-5

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  • DOI: https://doi.org/10.1140/epja/i2015-15161-5

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