Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Theory of Pattern Recognition for the Discrimination between Muon and
  Electron in the Super-Kamiokande   The standard Super-Kamiokande analysis uses an estimator for particle
identification by which it discriminates electrons (electron nutrinos) from
muons (muon nutrinos). Use of this estimator has led to the claim of a
significant deficiency of muons (muon nutrinos), suggesting the existence of
neutrino oscillations. We investigate three areas of concern for the
Super-Kamiokande estimator: the separation of the spatial part from the angular
part in the probability functions, the neglect of fluctuations in the Cherenkov
light in different physical processes due to the charged particles concerned,
and the point-like approximation for the emission of Cherenkov light. We show
that the first two factors are important for the consideration of stochastic
processes in the generation of the Cherenkov light, and that the point-like
assumption oversimplifies the estimation of the Cherenkov light quantities. We
develop a new discrimination procedure for separating electron neutrinos from
muon neutrinos, based on detailed simulations carried out with GEANT~3.21 and
with newly derived mean angular distribution functions for the charged
particles concerned (muons and electrons/positrons), as well as the
corresponding functions for the relative fluctuations. These angular
distribution functions are constructed introducing a ``moving point''
approximation. The application of our procedure between the discrimination
between electron and muon to the analysis of the experimental data in SK will
be made in a subsequent paper.

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The categories of this paper are: nlin
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: supr-con