Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic correction of the Coulomb interaction for energies and
  radii in doubly-magic nuclei   Effects of the relativistic correction of the Coulomb interaction on
doubly-magic nuclei are discussed with Skyrme Hartree-Fock calculations. It is
found that the correction to the total energy is about $ 2.4 \, \mathrm{MeV} $
for $ {}^{208} \mathrm{Pb} $, while proton and neutron radii do not change
significantly. This difference is larger than the difference of the Coulomb
exchange (Fock) energy calculated with the local density (Hartree-Fock-Slater)
approximation and that with the exact treatment and the neutron finite-size
effect. Effects of the correction are also compared to the correction due to
the vacuum polarization. It is shown that the two contributions to the total
energy are comparable in light nuclei, but the latter dominates in heavy
nuclei, while the contribution of the relativistic correction to the total
energy is non-negligible compared to the target accuracy of the DFT
calculation. Moreover, since the covariant (relativistic) density functional
theory often includes effects of magnetic interaction and retardation for
electromagnetic interaction, the method presented in this work enables one to
make a fair comparison between the non-relativistic and the relativistic
density functional calculations for electromagnetic energies.

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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: solv-int