Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: QED and relativistic nuclear recoil corrections to the 413 nm tune-out
  wavelength for the $2\,^3S_1$ state of helium   Comparison of high accuracy calculations with precision measurement of the
413 nm tune-out wavelength of the He($2\,^3S_1$) state provides a unique test
of quantum electro-dynamic (QED). We perform large-scale
relativistic-configuration-interaction (RCI) calculations of the tune-out
wavelength, that include the mass-shift operator, and fully account for leading
relativistic nuclear recoil terms in the Dirac-Coulomb-Breit (DCB) Hamiltonian.
We obtain the QED correction to the tune-out wavelength using perturbation
theory, and the effect of finite nuclear size is also evaluated. The resulting
tune-out wavelengths for the $2\,^3S_1(M_J=0)$ and $2\,^3S_1(M_J=\pm 1)$ states
are 413.084 26(4) nm and 413.090 15(4) nm, respectively. Compared with the only
current experimental value of 413.0938(9stat)(20syst) nm for the
$2\,^3S_1(M_J=\pm 1)$ state, there is 1.8$\sigma$ discrepancy between present
theoretical work and experiment, which stimulates further theoretical and
higher-precision experimental investigations on the 413 nm tune-out wavelength.
In addition, we also determine the QED correction for the static dipole
polarizability of the He($2\,^3S_1$) state to be 22.5 ppm, which may enable a
new test of QED in the future.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph