Effects of the long-range neutrino-mediated force in atomic phenomena

Abstract

As known, electron vacuum polarization by nuclear Coulomb field produces Uehling potential with the range $\hslash /2m_{e}c$. Similarly, neutrino vacuum polarization by $Z$ boson field produces long range potential $\sim G_F^2/r^5$ with a very large range $\hslash /2m_{\nu }c$. Measurements of macroscopic effects produced by potential $G_{\mathrm{eff}}^2/r^5$ give limits on the effective interaction constant $G_{\mathrm{eff}}$ which exceed Fermi constant $G_F$ by many orders of magnitude, while limits from spectroscopy of simple atomic systems are approaching the Standard Model predictions. In the present paper we consider limits on $G_{\mathrm{eff}}$ from hydrogen, muonium, positronium, deuteron, and molecular hydrogen. Constraints are also obtained on fifth force parameterised by Yukawa-type potential mediated by a scalar particle.

arXiv comment7 pages, 3 figures, 2 tables

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