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Revealing Color Forces with Transverse Polarized Electron Scattering

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arxiv 1805.08835 v4 pith:PQS7W3IE submitted 2018-05-22 nucl-ex

W. Armstrong (1 , 2) , H. Kang (3) , A. Liyanage (4) , J. Maxwell (5 , 6) , J. Mulholland (5) , L. Ndukum (7)
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classification nucl-ex
keywords asymmetriescolorpolarizedaveragebeamdataelectronforce
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The Spin Asymmetries of the Nucleon Experiment (SANE) measured two double spin asymmetries using a polarized proton target and polarized electron beam at two beam energies, 4.7 GeV and 5.9 GeV. A large-acceptance open-configuration detector package identified scattered electrons at 40$^{\circ}$ and covered a wide range in Bjorken $x$ ($0.3 < x < 0.8$). Proportional to an average color Lorentz force, the twist-3 matrix element, $\tilde{d}_2^p$, was extracted from the measured asymmetries at $Q^2$ values ranging from 2.0 to 6.0 GeV$^2$. The data display the opposite sign compared to most quark models, including the lattice QCD result, and an apparently unexpected scale dependence. Furthermore when combined with the neutron data in the same $Q^2$ range the results suggest a flavor independent average color Lorentz force.

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