%0 Journal Article
%T Moments of the neutron $g_2$ structure function at intermediate $Q^2$
%A P. Solvignon
%A N. Liyanage
%A J. -P. Chen
%A Seonho Choi
%A K. Slifer
%A K. Aniol
%A T. Averett
%A W. Boeglin
%A A. Camsonne
%A G. D. Cates
%A C. C. Chang
%A E. Chudakov
%A B. Craver
%A F. Cusanno
%A A. Deur
%A D. Dutta
%A R. Ent
%A R. Feuerbach
%A S. Frullani
%A H. Gao
%A F. Garibaldi
%A R. Gilman
%A C. Glashausser
%A V. Gorbenko
%A O. Hansen
%A D. W. Higinbotham
%A H. Ibrahim
%A X. Jiang
%A M. Jones
%A A. Kelleher
%A J. Kelly
%A C. Keppel
%A W. Kim
%A W. Korsch
%A K. Kramer
%A G. Kumbartzki
%A J. J. LeRose
%A R. Lindgren
%A B. Ma
%A D. J. Margazioti
%A P. Markowitz
%A K. McCormick
%A Z. -E. Meziani
%A R. Michaels
%A B. Moffit
%A P. Monaghan
%A C. Munoz Camacho
%A K. Paschke
%A B. Reitz
%A A. Saha
%A R. Shneor
%A J. Singh
%A V. Sulkosky
%A A. Tobias
%A G. M. Urciuoli
%A K. Wang
%A K. Wijesooriya
%A B. Wojtsekhowski
%A S. Woo
%A J. -C. Yang
%A X. Zheng
%A L. Zhu
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevC.92.015208
%X 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.
%U http://arxiv.org/abs/1304.4497v5