Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-loop vacuum polarization at m$\alpha$7 and higher orders for
  three-body molecular systems   We present calculations of the one-loop vacuum polarization correction
(Uehling potential) for the three-body problem in the NRQED formalism. The case
of one-electron molecular systems is considered. Numerical results of the
vacuum polarization contribution at m$\alpha$7 and higher orders for the
fundamental transitions (v = 0, L = 0) $\rightarrow$ (v ' = 1, L ' = 0) in the
H2+ and HD+ molecular ions are presented and compared with calculations
performed in the adiabatic approximation. The residual uncertainty from this
contribution on the transition frequencies is shown to be of a few tens of Hz.

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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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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: atom-ph
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga