New Measurement of the Proton Gyromagnetic Ratio and a Derived Value of the Fine-Structure Constant Accurate to a Part in 107

Abstract

A new value for the fine-structure constant has been obtained from a new measurement of the gyromagnetic ratio of the proton. The result, ${{\ensuremath{\gamma}}_{p}}^{\ensuremath{'}}{(\mathrm{low})}_{\mathrm{NBS}}=2.67513229(57)\ifmmode\times\else\texttimes\fi{}{10}^{8}$ ${\mathrm{s}}^{\ensuremath{-}1}$ ${\mathrm{T}}_{\mathrm{NBS}}^{\ensuremath{-}1}$ (0.21 ppm), is used to derive ${\ensuremath{\alpha}}^{\ensuremath{-}1}=137.035963(15)$ (0.11 ppm). This value of ${\ensuremath{\alpha}}^{\ensuremath{-}1}$ is (0.33\ifmmode\pm\else\textpm\fi{}0.14) ppm less than the value of ${\ensuremath{\alpha}}^{\ensuremath{-}1}$ derived from measurements of the anomalous magnetic moment of the electron, ${a}_{e}$, and its current best quantum electrodynamics theoretical estimate.

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