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

As known, electron vacuum polarisation by nuclear Coulomb field produces the Uehling potential with the range . Similarly, neutrino vacuum polarisation by the Z boson field produces a long-range potential with a very large range . Measurements of macroscopic effects produced by the potential give limits on the effective interaction constant which exceed Fermi constant by many orders of magnitude, while limits from the spectroscopy of simple atomic systems are approaching the Standard Model predictions. In this paper, we consider limits on 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.