Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On muon energy group structure based on deflection angle for application
  in muon scattering tomography: A Monte Carlo study through GEANT4 simulations   The average deflection angle of the tracked muons in the muon scattering
tomography exponentially declines in function of the initial kinetic energy,
the angular dependence of which provides an opportunity to set out a binary
relation between the initial kinetic energy and the average deflection angle,
thereby leading to a coarse energy prediction founded on the mean deflection
angle in the case of experimental incapabilities or limitations. In this study,
we address the problem of the muon energy classification for a tomographic
system consisting of 0.4-cm plastic scintillators manufactured from polyvinyl
toluene and we explore a four-group structure besides a ternary partitioning
between 0.25 and 8 GeV. In the first instance, we determine the deflection
angles by tracking the hit locations in the detector layers on the sub-divided
uniform energy intervals through the GEANT4 simulations. In the latter step, we
express two misclassification probabilities where the first approach assumes a
symmetrical linear propagation bounded by one standard deviation in one
dimension, whereas the second procedure employs a positively defined modified
Gaussian distribution that governs the overlapping area in two dimensions. In
the final stage, we compare qualitatively and quantitatively the adjacent
energy groups by using the computed misclassification probabilities. In the
absence of any further data manipulation, we explicitly show that the
misclassification probabilities increase when the number of energy groups
augments. Furthermore, we also conclude that it is feasible to benefit from the
mean deflection angle to roughly estimate the muon energies up to four energy
groups by taking the misclassification probabilities into consideration, while
the classification viability significantly diminishes when the partition number
exceeds four on the basis of standard deviation.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cs