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Measurement of the generalized form factors near threshold via $\gamma^* p \to n\pi^+$ at high $Q^2$
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abstract
We report the first extraction of the pion-nucleon multipoles near the production threshold for the $n\pi^+$ channel at relatively high momentum transfer ($Q^2$ up to 4.2 $\rm{GeV^2}$). The dominance of the s-wave transverse multipole ($E_{0+}$), expected in this region, allowed us to access the generalized form factor $G_1$ within the light-cone sum rule (LCSR) framework as well as the axial form factor $G_A$. The data analyzed in this work were collected by the nearly $4\pi$ CEBAF Large Acceptance Spectrometer (CLAS) using a 5.754 $\rm{GeV}$ electron beam on a proton target. The differential cross section and the $\pi-N$-multipole $E_{0+}/G_D$ were measured using two different methods, the LCSR and a direct multipole fit. The results from the two methods are found to be consistent and almost $Q^2$ independent.
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Cited by 1 Pith paper
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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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