{
"id": "1812.02714",
"version": "v1",
"published": "2018-12-06T18:49:00.000Z",
"updated": "2018-12-06T18:49:00.000Z",
"title": "Defining the Proton Radius: a Unified Treatment",
"authors": [
"Gerald A. Miller"
],
"comment": "18 pages, two figures",
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex",
"physics.atom-ph"
],
"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 $r_p^2\\equiv -6 G_E'(0)$ 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.",
"revisions": [
{
"version": "v1",
"updated": "2018-12-06T18:49:00.000Z"
}
],
"analyses": {
"keywords": [
"proton radius",
"unified treatment",
"hydrogen spectroscopy",
"significant current interest",
"diverse modern parton distributions"
],
"note": {
"typesetting": "TeX",
"pages": 18,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}