Precision physics of simple atoms and constraints on a light boson with ultraweak coupling

Abstract

Constraint on spin-dependent and spin-independent Yukawa potential at atomic scale is developed. That covers constraints on a coupling constant of an additional photon ${\gamma }^{\ast }$ and a pseudovector boson. The mass range considered is from $1\mathrm{eV}/c^2$ to $1\mathrm{MeV}/c^2$. The strongest constraint on a coupling constant ${\alpha }^{\prime }$ is at the level of a few parts in $10^{13}$ (for ${\gamma }^{\ast }$) and below one part in $10^{16}$ (for a pseudovector) corresponding to mass below $1\mathrm{keV}/c^2$. The constraints are derived from low-energy tests of quantum electrodynamics and are based on spectroscopic data on light hydrogen-like atoms and experiments with magnetic moments of leptons and light nuclei.