Moments of the neutron $g_2$ structure function at intermediate $Q^2$

A. Camsonne; A. Deur; A. Kelleher; A. Saha; A. Tobias; B. Craver; B. Ma; B. Moffit; B. Reitz; B. Wojtsekhowski

Moments of the neutron g₂ structure function at intermediate Q²

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arxiv 1304.4497 v5 pith:ZGEBAZTT submitted 2013-04-16 nucl-ex

Moments of the neutron g₂ structure function at intermediate Q²

P. Solvignon , N. Liyanage , J.-P. Chen , Seonho Choi , K. Slifer , K. Aniol , T. Averett , W. Boeglin

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A. Camsonne G.D. Cates C.C. Chang E. Chudakov B. Craver F. Cusanno A. Deur D. Dutta R. Ent R. Feuerbach S. Frullani H. Gao F. Garibaldi R. Gilman C. Glashausser V. Gorbenko O. Hansen D.W. Higinbotham H. Ibrahim X. Jiang M. Jones A. Kelleher J. Kelly C. Keppel W. Kim W. Korsch K. Kramer G. Kumbartzki J.J. LeRose R. Lindgren B. Ma D.J. Margazioti P. Markowitz K. McCormick Z.-E. Meziani R. Michaels B. Moffit P. Monaghan C. Munoz Camacho K. Paschke B. Reitz A. Saha R. Shneor J. Singh V. Sulkosky A. Tobias G.M. Urciuoli K. Wang K. Wijesooriya B. Wojtsekhowski S. Woo J.-C. Yang X. Zheng L. Zhu

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We present new experimental results of the $^3$He spin structure function $g_2$ in the resonance region at $Q^2$ values between 1.2 and 3.0 (GeV/c)$^2$. Spin dependent moments of the neutron were then extracted. Our main result, the resonance contribution to the neutron $d_2$ matrix element, was found to be small at $<Q^2>$=2.4 (GeV/c)$^2$ and in agreement with the Lattice QCD calculation. The Burkhardt-Cottingham sum rule for $^3$He and the neutron was tested with the measured data and using the Wandzura-Wilczek relation for the low $x$ unmeasured region. A small deviation was observed at $Q^2$ values between 0.5 and 1.2 (GeV/c)$^2$ for the neutron.

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