Vector and Axial Nucleon Form Factors:A Duality Constrained Parameterization

Abstract

We present new parameterizations of vector and axial nucleon form factors. We maintain an excellent descriptions of the form factors at low momentum transfers, where the spatial structure of the nucleon is important, and use the Nachtman scaling variable xi to relate elastic and inelastic form factors and impose quark-hadron duality constraints at high momentum transfers where the quark structure dominates. We use the new vector form factors to re-extract updated values of the axial form factor from neutrino experiments on deuterium. We obtain an updated world average value from neutrino-d and pion electroproduction experiments of M_A = 1.014 +- 0.014 GeV/c2. Our parameterizations are useful in modeling neutrino interactions at low energies (e.g. for neutrino oscillations experiments). The predictions for high momentum transfers can be tested in the next generation electron and neutrino scattering experiments.

5 pages, 3 figures, to be published in EPJC

References in corpus (10)

• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Axial structure of the nucleon
• A new parameterization of the nucleon elastic form factors
• Dispersion analysis of the nucleon form factors including meson continua
• Charged Current Neutrino Nucleus Interactions at Intermediate Energies
• Measurement of the proton electric to magnetic form factor ratio from \vec ^1H(\vec e, e'p)
• Precise determination of low-Q nucleon electromagnetic form factors and their impact on parity-violating e-p elastic scattering
• Vector and Axial Form Factors Applied to Neutrino Quasielastic Scattering
• Charged current anti-neutrino reactions from ${}^{12}$C at MiniBooNE energies
• Effect of the bound nucleon form factors on charged-current neutrino-nucleus scattering

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