Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Muon Transverse Ionization Cooling: Stochastic Approach   Transverse ionization cooling of muons is modeled as a Brownian motion of the
muon beam as it traverses a Li or Be rod. A Langevin like equation is written
for the free particle case (no external transverse magnetic field) and for the
case of a harmonically bound beam in the presence of a focusing magnetic field.
We demonstrate that the well known muon cooling equations for short-absorbers
can be extrapolated to the useful case of a long absorber rod with a focusing
magnetic field present.

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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th