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Kramer, K. McCormick, K. Paschke, K. Slifer, K. Wang, K. Wijesooriya, L. Zhu, M. Jones, N. Liyanage, O. Hansen, P. Markowitz, P. Monaghan, P. Solvignon, R. Ent, R. Feuerbach, R. Gilman, R. Lindgren, R. Michaels, R. Shneor, Seonho Choi, S. Frullani, S. Woo, T. Averett, V. Gorbenko, V. Sulkosky, W. Boeglin, W. Kim, W. Korsch, X. Jiang, X. Zheng, Z.-E. Meziani","submitted_at":"2013-04-16T15:44:07Z","abstract_excerpt":"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. 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Camsonne, A. Deur, A. Kelleher, A. Saha, A. Tobias, B. Craver, B. Ma, B. Moffit, B. Reitz, B. Wojtsekhowski, C.C. Chang, C. Glashausser, C. Keppel, C. Munoz Camacho, D. Dutta, D.J. Margazioti, D.W. Higinbotham, E. Chudakov, F. Cusanno, F. Garibaldi, G.D. Cates, G. Kumbartzki, G.M. Urciuoli, H. Gao, H. Ibrahim, J.-C. Yang, J.J. LeRose, J. Kelly, J.-P. Chen, J. Singh, K. Aniol, K. Kramer, K. McCormick, K. Paschke, K. Slifer, K. Wang, K. Wijesooriya, L. Zhu, M. Jones, N. Liyanage, O. Hansen, P. Markowitz, P. Monaghan, P. Solvignon, R. Ent, R. Feuerbach, R. Gilman, R. Lindgren, R. Michaels, R. Shneor, Seonho Choi, S. Frullani, S. Woo, T. Averett, V. Gorbenko, V. Sulkosky, W. Boeglin, W. Kim, W. Korsch, X. Jiang, X. Zheng, Z.-E. Meziani","submitted_at":"2013-04-16T15:44:07Z","abstract_excerpt":"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. 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