Abstract
The spin-structure functions g1 and g2, and the spin-dependent partial cross-section σTT have been extracted from the polarized cross-sections differences, Δσ∥(ν,Q2) and Δσ⊥(ν,Q2) measured for the He3→(e→,e′)X reaction, in the E97-110 experiment at Jefferson Lab. Polarized electrons with energies from 1.147 to 4.404 GeV were scattered at angles of 6∘ and 9∘ from a longitudinally or transversely polarized 3He target. The data cover the kinematic regions of the quasi-elastic, resonance production and beyond. From the extracted spin-structure functions, the first moments Γ1‾(Q2), Γ2(Q2) and ITT(Q2) are evaluated with high precision for the neutron in the Q2 range from 0.035 to 0.24GeV2. The comparison of the data and the chiral effective field theory predictions reveals the importance of proper treatment of the Δ degree of freedom for spin observables.
Highlights
It links an integral over the excitation spectrum of the helicity-dependent photoabsorption crosssections to the target’s anomalous magnetic moment κ
The GDH sum rule can be applied to various polarized targets such as 3He and the neutron, with predictions of -498.0 and -232.5 μb, respectively
Extrapolating the data to Q2 = 0 to check the original GDH sum rule is difficult since the calculations that could be used to guide the extrapolation markedly disagree
Summary
It links an integral over the excitation spectrum of the helicity-dependent photoabsorption crosssections to the target’s anomalous magnetic moment κ. Sum rules offer a remarkable opportunity to address the first problem by equating measurable moments of structure functions to calculable Compton scattering amplitudes. The GDH sum rule can be applied to various polarized targets such as 3He and the neutron, with predictions of -498.0 and -232.5 μb, respectively.
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