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Nucleon axial form factor at large momentum transfers
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abstract
Using a Poincar\'e-covariant quark+diquark Faddeev equation and related symmetry-preserving weak interaction current, we deliver parameter-free predictions for the nucleon axialvector form factor, $G_A(Q^2)$, on the domain $0\leq x=Q^2/m_N^2\leq 10$, where $m_N$ is the nucleon mass. We also provide a detailed analysis of the flavour separation of the proton $G_A$ into contributions from valence $u$ and $d$ quarks; and with form factors available on such a large $Q^2$ domain, predictions for the flavour-separated axial-charge light-front transverse spatial density profiles. Our calculated axial charge ratio $g_A^d/g_A^u=-0.32(2)$ is consistent with available experimental data and markedly larger in magnitude than the value typical of nonrelativistic quark models. The value of this ratio is sensitive to the strength of axialvector diquark correlations in the Poincar\'e-covariant nucleon wave function. Working with a realistic axialvector diquark content, the $d$ and $u$ quark transverse density profiles are similar. Some of these predictions could potentially be tested with new data on threshold pion electroproduction from the proton at large $Q^2$.
Forward citations
Cited by 3 Pith papers
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The Nucleon Axial Form Factor from Elementary Target Data
The nucleon axial form factor from hydrogen and lattice-QCD data falls more slowly with Q² than deuterium-based fits, indicating deuterium extractions are biased low.
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Nucleon relativistic weak-neutral axial-vector four-current distributions
The 3D axial charge density of a spin-1/2 hadron is parity-odd and controlled by the induced pseudotensor form factor G_T^Z, while the second-class current drops out of the mean-square axial and spin radii.
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Weak charged current induced electron and positron scattering off proton at JLab and MAMI energies
Calculated cross sections and spin observables for weak charged-current e±+p scattering at JLab-MAMI energies, presented as benchmarks to extract the axial dipole mass and test G- and T-invariance.
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