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Constraints on a spin-independent interaction by exchange of a neutral lightboson are derived from precision data on the electron anomalous magnetic momentand from atomic spectroscopy of hydrogen and deuterium atoms. The mass rangefrom $1 $eV$/c^2$ to $1 $Mev$/c^2$ is studied and the effective couplingconstant $\alpha^\prime$ is allowed below the level of $10^{-11} - 10^{-13}$depending on the value of the boson mass. The mass range corresponds to theYukawa radius from 0.0002 nm to 20 nm, which covers the distances far above andfar below the Bohr radius of the hydrogen atom.

Constraints on a long-range spin-independent interaction from precision atomic physics