First-principles calculation of the frequency-dependent dipole
polarizability of argon
- URL: http://arxiv.org/abs/2301.12502v2
- Date: Tue, 11 Apr 2023 10:40:22 GMT
- Title: First-principles calculation of the frequency-dependent dipole
polarizability of argon
- Authors: Micha{\l} Lesiuk and Bogumi{\l} Jeziorski
- Abstract summary: We report state-of-the-art theoretical calculations of the dipole polarizability of the argon atom.
The results are important for a new pressure standard based on thermophysical properties of gaseous argon.
We also calculate the static magnetic susceptibility of argon which relates the refractive index of dilute argon with its pressure.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work we report state-of-the-art theoretical calculations of the
dipole polarizability of the argon atom. Frequency dependence of the
polarizability is taken into account by means of the dispersion coefficients
(Cauchy coefficients) which is sufficient for experimentally relevant
wavelengths below the first resonant frequency. In the proposed theoretical
framework, all known physical effects including the relativistic, quantum
electrodynamics, finite nuclear mass, and finite nuclear size corrections are
accounted for. We obtained $\alpha_0=11.0763(19)$ for the static polarizability
and $\alpha_2=27.976(15)$ and $\alpha_4=95.02(11)$ for the second and fourth
dispersion coefficients, respectively. The result obtained for the static
polarizability agrees (within the estimated uncertainty) with the most recent
experimental data [C. Gaiser and B. Fellmuth, Phys. Rev. Lett. 120, 123203
(2018)], but is less accurate. The dispersion coefficients determined in this
work appear to be most accurate in the literature, improving by more than an
order of magnitude upon previous estimates. By combining the experimentally
determined value of the static polarizability with the dispersion coefficients
from our calculations, the polarizability of argon can be calculated with
accuracy of around $10\,$ppm for wavelengths above roughly $450\,$nm. This
result is important from the point of view of quantum metrology, especially for
a new pressure standard based on thermophysical properties of gaseous argon.
Additionally, in this work we calculate the static magnetic susceptibility of
argon which relates the refractive index of dilute argon gas with its pressure.
While our results for this quantity are less accurate than in the case of the
polarizability, they can provide, via Lorenz-Lorentz formula, the best
available theoretical estimate of the refractive index of argon.
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