“…Finally, the fitting procedure was applied to the actual experimental data, with n = 2..4 and with optimal Q 2 max for each n. The data were taken from Refs. [11][12][13][14][15][16][17][18][19]. The resulting radii and χ 2 per degree of freedom are shown in the "Results" section of Table I.…”
The elastic electron-proton scattering data are analysed in order to determine proton charge and magnetic rms radii, rE and rM . Along with the usual statistical error, we try to estimate a systematic error in the radii, caused by the inadequacy of particular form factor parameterization employed. The range of data to use in the analysis is chosen so as to minimize the total (statistical + systematic) error. We obtain rE = 0.912 ± 0.009 (stat) ± 0.007 (syst) fm and rM = 0.876 ± 0.010 (stat) ± 0.016 (syst) fm. The cross-section data were corrected for two-photon exchange. We found that without such corrections obtained rE and rM are somewhat smaller while the quality of fit is worse.
“…Finally, the fitting procedure was applied to the actual experimental data, with n = 2..4 and with optimal Q 2 max for each n. The data were taken from Refs. [11][12][13][14][15][16][17][18][19]. The resulting radii and χ 2 per degree of freedom are shown in the "Results" section of Table I.…”
The elastic electron-proton scattering data are analysed in order to determine proton charge and magnetic rms radii, rE and rM . Along with the usual statistical error, we try to estimate a systematic error in the radii, caused by the inadequacy of particular form factor parameterization employed. The range of data to use in the analysis is chosen so as to minimize the total (statistical + systematic) error. We obtain rE = 0.912 ± 0.009 (stat) ± 0.007 (syst) fm and rM = 0.876 ± 0.010 (stat) ± 0.016 (syst) fm. The cross-section data were corrected for two-photon exchange. We found that without such corrections obtained rE and rM are somewhat smaller while the quality of fit is worse.
“…For the proton a very extensive data base is available [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. These cross sections usually have been split into the contributions of the charge-and magnetic-form factors G ep (q) and G mp (q) using a Fig.…”
We summarize various analyses of the world data on elastic electron scattering for the determination of the most precise charge rms-radius of the proton. We also present the Zemach moments needed for the interpretation of atomic HFS structure and µ-X-ray experiments.Résumé : Nous passons en revue différentes analyses faites à travers le monde des données de diffusion élastique d'électrons afin de déterminer de la façon la plus précise possible le rayon RMS du proton. Nous présentons également les moments de Zeemach requis dans l'interprétation de la structure atomique HFS et des expériences rayons X.[Traduit par la Rédaction]
“…It also should be noted [34,30,37,39,27,47,45,25,24], for B(Q) to Refs. [38,34,30,43,46,40,47,35,29,28], and for T 20 (Q) to Refs. [51,52,49,53,54,59,55,56,57,60,58].…”
Section: Experiments On Deuteronmentioning
confidence: 99%
“…Although these experiments provided less accurate cross sections, they are most valuable because they are generally totally dominated by G M (Q) and thus less dependent on the (error-enhancing) L/T-separation. The experiments of Benaksas et al [30], with Q = 1.7 − 2.2 fm −1 , and Ganichot et al [40], with Q = 0.7 − 2.4 fm −1 , were carried out at 180…”
Abstract. Experimental form factors of the hydrogen and helium isotopes, extracted from an up-to-date global analysis of cross sections and polarization observables measured in elastic electron scattering from these systems, are compared to predictions obtained in three different theoretical approaches: the first is based on realistic interactions and currents, including relativistic corrections (labeled as the conventional approach); the second relies on a chiral effective field theory description of the strong and electromagnetic interactions in nuclei (labeled χEFT); the third utilizes a fully relativistic treatment of nuclear dynamics as implemented in the covariant spectator theory (labeled CST). For momentum transfers below Q 5 fm −1 there is satisfactory agreement between experimental data and theoretical results in all three approaches. However, at Q 5 fm −1 , particularly in the case of the deuteron, a relativistic treatment of the dynamics, as is done in the CST, is necessary. The experimental data on the deuteron A structure function extend to Q ≃ 12 fm −1 , and the close agreement between these data and the CST results suggests that, even in this extreme kinematical regime, there is no evidence for new effects coming from quark and gluon degrees of freedom at short distances.
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