The complete α³ QED correction to the helium atom polarizability is computed assuming an infinite nuclear mass and found to be equal to 0.000 030 666(3) a.u., with the contribution from the electric-field dependence of the Bethe logarithm amounting to 0.000 000 193(2) a.u. After including the α² and α³ corrections for the nuclear recoil and the leading part of the α⁴ QED correction, we find that the molar polarizability of ⁴He is 0.517 254 19(9)(4) cm³/mol. The first of the two error bounds is dominated by the uncertainty of α⁴ and higher-order QED corrections and the second reflects the uncertainty of the Avogadro constant.
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Łach et al. (2004) studied this question.
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