Zemach moments of the proton from Bayesian inference

Graczyk, Krzysztof M.; Juszczak, Cezary

doi:10.1103/physrevc.91.045205

Cited by 6 publications

(8 citation statements)

References 35 publications

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“…We present some previous estimates of Friar radii in Table XI. There is a significant difference between results with and without the constraint on the proton charge radius [88,[125][126][127][128][129][130][131][132][133][134][135][136][137][138].…”

Section: Friar Radiusmentioning

confidence: 99%

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Parametrization and applications of the low- Q2 nucleon vector form factors

et al. 2020

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We present the proton and neutron vector form factors in a convenient parametric form that is optimized for momentum transfers ≲ few GeV 2. The form factors are determined from a global fit to electron scattering data and precise charge radius measurements. A new treatment of radiative corrections is applied. This parametric representation of the form factors, uncertainties, and correlations provides an efficient means to evaluate many derived observables. We consider two classes of illustrative examples: neutrinonucleon scattering cross sections at GeV energies for neutrino oscillation experiments and nucleon structure corrections for atomic spectroscopy. The neutrino-nucleon charged current quasielastic cross section differs by 3%-5% compared to commonly used form factor models when the vector form factors are constrained by recent high-statistics electron-proton scattering data from the A1 Collaboration. Nucleon structure parameter determinations include: the magnetic and Zemach radii of the proton and neutron, ½r p M ; r n M ¼ ½0.739ð41Þð23Þ; 0.776ð53Þð28Þ fm and ½r p Z ; r n Z ¼ ½1.0227ð94Þð51Þ; −0.0445ð14Þð3Þ fm; the Friar radius of nucleons, ½ðr p F Þ 3 ; ðr n F Þ 3 ¼ ½2.246ð58Þð2Þ; 0.0093ð6Þð1Þ fm 3 ; the electric curvatures, ½hr 4 i p E ; hr 4 i n E ¼ ½1.08ð28Þð5Þ; −0.33ð24Þð3Þ fm 4 ; and bounds on the magnetic curvatures, ½hr 4 i p M ; hr 4 i n M ¼ ½−2.0ð1.7Þð0.8Þ; −2.3ð2.1Þð1.1Þ fm 4. The first and dominant uncertainty is propagated from the experimental data and radiative corrections, and the second error is due to the fitting procedure.

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Section: Friar Radiusmentioning

confidence: 99%

“…Further calculations and fits to scattering data are found in Refs. [126,129,138,139,[141][142][143][144]. Extractions from atomic spectroscopy are found in Refs.…”

Section: Zemach Radiusmentioning

confidence: 99%

Parametrization and applications of the low- Q2 nucleon vector form factors

et al. 2020

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“…It was also used in the investigation of the two-photon exchange phenomenon in elastic electron-proton scattering [32][33][34]. Furthermore, this approach has proved valuable to gain insight into the proton radius puzzle and, in particular, to study the model dependence in the extraction of the proton radius from the electron-scattering data [23,35].…”

Section: Introductionmentioning

confidence: 99%

Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data

2019

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The Bayesian approach for feed-forward neural networks has been applied to the extraction of the nucleon axial form factor from the neutrino-deuteron scattering data measured by the Argonne National Laboratory bubble chamber experiment. This framework allows to perform a modelindependent determination of the axial form factor from data. When the low 0.05 < Q 2 < 0.10 GeV 2 data are included in the analysis, the resulting axial radius disagrees with available determinations. Furthermore, a large sensitivity to the corrections from the deuteron structure is obtained. In turn, when the low-Q 2 region is not taken into account with or without deuteron corrections, no significant deviations from previous determinations have been observed. A more accurate determination of the nucleon axial form factor requires new precise measurements of neutrino-induced quasielastic scattering on hydrogen and deuterium.

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“…The finite-size (FS) of the nucleus results in small corrections to several low-energy electromagnetic and weak interaction processes, such as precision studies of atomic hyperfine splitting [1] and the Lamb shift [2], as well as nuclear beta decay [3]. In all of these processes Zemach [1] moments enter, and the magnitudes of some of these Zemach moments have been extracted [4,5] from experimental measurements in very light nuclei. For heavier nuclei finite-size effects are often parameterized with a simple estimate based on the size of a hypothetical uniform-density nucleus (viz., R = r 0 A 1/3 ), where r 0 is typically taken to be 1.2 fm and A is the nucleon number.…”

Section: Introductionmentioning

confidence: 99%

Nuclear Zemach moments and finite-size corrections to allowedβdecay

2016

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The finite-size correction to β-decay plays an important role in determining the expected antineutrino spectra from reactors at a level that is important for the reactor-neutrino anomaly. Here we express the leading-order finite-size correction to allowed β-decay in terms of Zemach moments. We calculate the Zemach moments within a Hartree-Fock model using a Skyrme-like energy density functional. We find that the Zemach moments are increased relative to predictions based on the simple assumption of identical uniform nuclear-charge and weak-transition densities. However, for allowed ground-state to ground-state transitions in medium and heavy nuclei, the detailed nuclear structure calculations do not change the finite-size corrections significantly from the simple model predictions, and are only 10-15% larger than the latter even though the densities differ significantly.

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Zemach moments of the proton from Bayesian inference

Cited by 6 publications

References 35 publications

Parametrization and applications of the low- Q2 nucleon vector form factors

Parametrization and applications of the low- Q2 nucleon vector form factors

Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data

Nuclear Zemach moments and finite-size corrections to allowedβdecay

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