Model-independent extraction of the proton charge radius from electron scattering

Hill, Richard J.; Paz, Gil

doi:10.1103/physrevd.82.113005

Cited by 177 publications

(200 citation statements)

References 62 publications

Supporting

Mentioning

194

Contrasting

Order By: Relevance

“…Since the values of the form factors at q 2 = 0 are well known, in the following we will use t 0 = 0. As discussed in [76], the results do not depend on the choice of t 0 . For this choice of t 0 , the maximum value of |z| is 0.46, 0.58 for Q 2 max = 0.5, 1.0 GeV 2 , respectively .…”

Section: Analytic Structurementioning

confidence: 59%

“…In particular, it was shown in [76] that the bounds of |a k | < 5 and |a k | < 10 are very conservative for the electric form factor. We would like to determine similar bounds for the magnetic form factor.…”

Section: Bounds On the Coefficientsmentioning

confidence: 99%

“…The analytic structure of the form factors and their constraints were discussed in detail in [76]. Here we review some of the main ingredients needed for our analysis.…”

Section: Form Factor Constraintsmentioning

confidence: 99%

“…The problem was solved in [76], which introduced a method of extraction that is free of such model dependance. The method, often called the "z-expansion" adapts an established tool in the study of meson form factors to the case of baryon form factors.…”

Section: Introductionmentioning

confidence: 99%

“…1 The purpose of this study is to apply the methods established in [76], to the extraction of the magnetic radius of the proton from scattering data. As in [76] we will use proton, neutron, and ππ scattering data to determine the magnetic radius of the proton from the reported measurement of the magnetic form factors of the proton and neutron. We will also determine the magnetic radius of the neutron.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Model independent extraction of the proton magnetic radius from electron scattering

2014

Self Cite

View full text Add to dashboard Cite

We combine constraints from analyticity with experimental electron-proton scattering data to determine the proton magnetic radius without model-dependent assumptions on the shape of the form factor. We also study the impact of including electron-neutron scattering data, and ππ → NN data. Using representative datasets we find for a cut of Q 2 ≤ 0.5 GeV 2 , r p M = 0.91 +0.03 −0.06 ± 0.02 fm using just proton scattering data; r p M = 0.87 +0.04 −0.05 ± 0.01 fm adding neutron data; and r p M = 0.87 +0.02 −0.02 fm adding ππ data. We also extract the neutron magnetic radius from these data sets obtaining r n M = 0.89 +0.03 −0.03 fm from the combined proton, neutron, and ππ data.

show abstract

Section: Analytic Structurementioning

confidence: 59%

Section: Bounds On the Coefficientsmentioning

confidence: 99%

“…The analytic structure of the form factors and their constraints were discussed in detail in [76]. Here we review some of the main ingredients needed for our analysis.…”

Section: Form Factor Constraintsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Model independent extraction of the proton magnetic radius from electron scattering

2014

Self Cite

View full text Add to dashboard Cite

show abstract

Uncertainties and Principles of Extracting the Differential Cross Section

Mistry

2023

Exploring Electron–Neutrino–Argon Interactions

View full text Add to dashboard Cite

Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs

Sufian

Liu

Richards

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We present a determination of the neutral current weak axial charge G Z A (0) = −0.654(3) stat (5) sys using the strange quark axial charge G s A (0) calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region 0.24 Q 2 0.71 GeV 2 to determine the neutral current weak axial form factor G Z A (Q 2) in the range of 0 Q 2 ≤ 1 GeV 2. This yields a phenomenological value of G Z A (0) = −0.687(89) stat (40) sys. The value of G Z A (0) constrained by the lattice QCD calculation of G s A (0), when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to G Z A (Q 2) for Q 2 > 0. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near Q 2 = 0 and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of G Z A (Q 2) obtained from the (anti)neutrinonucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data.

show abstract

Model-independent extraction of the proton charge radius from electron scattering

Cited by 177 publications

References 62 publications

Model independent extraction of the proton magnetic radius from electron scattering

Model independent extraction of the proton magnetic radius from electron scattering

Uncertainties and Principles of Extracting the Differential Cross Section

Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs

Contact Info

Product

Resources

About