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- W2902823003 abstract "Background: There is significant current interest in knowing the value of the proton radius and also its proper definition. Purpose: Combine the disparate literatures of hydrogen spectroscopy and diverse modern parton distributions to show that the quantity $r_p^2equiv -6 G_E'(0)$ is the relativistically proper definition that originates from the separate bodies of work. Methods: Use perturbation theory, light-front dynamics and elementary techniques to find relativistically correct definitions of the proton radius and charge density. Results: It is found that the very same proton radius is accessed by measurements of hydrogen spectroscopy and elastic lepton scattering. The derivation of the mean-square radius as a moment of a spherically symmetric three-dimensional density is shown to be incorrect. A relativistically-correct, two-dimensional charge density is related to the diverse modern literature of various parton distributions. Relativistically invariant moments thereof are derived in a new moment expansion, the RME." @default.
- W2902823003 created "2018-12-11" @default.
- W2902823003 creator A5075830372 @default.
- W2902823003 date "2019-03-07" @default.
- W2902823003 modified "2023-10-12" @default.
- W2902823003 title "Defining the proton radius: A unified treatment" @default.
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- W2902823003 doi "https://doi.org/10.1103/physrevc.99.035202" @default.
- W2902823003 hasPublicationYear "2019" @default.
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