Deep Inelastic Scattering of Polarized Electrons by Polarized $^3$He and the Study of the Neutron Spin Structure

dc.creatorThe E142 Collaboration
dc.creatoral, P. L. Anthony et
dc.date1996-10-14
dc.date.accessioned2026-07-07T10:32:15Z
dc.date.available2026-07-07T10:32:15Z
dc.descriptionThe neutron longitudinal and transverse asymmetries $A^n_1$ and $A^n_2$ have been extracted from deep inelastic scattering of polarized electrons by a polarized $^3$He target at incident energies of 19.42, 22.66 and 25.51 GeV. The measurement allows for the determination of the neutron spin structure functions $g^n_1 (x,Q^2)$ and $g^n_2(x,Q^2)$ over the range $0.03 < x < 0.6$ at an average $Q^2$ of 2 (GeV$/c)^2$. The data are used for the evaluation of the Ellis-Jaffe and Bjorken sum rules. The neutron spin structure function $g^n_1 (x,Q^2)$ is small and negative within the range of our measurement, yielding an integral ${\int_{0.03}^{0.6} g_1^n(x) dx}= -0.028 \pm 0.006 (stat) \pm 0.006 (syst) $. Assuming Regge behavior at low $x$, we extract $Γ_1^n=\int^1_0 g^n_1(x)dx = -0.031 \pm 0.006 (stat)\pm 0.009 (syst) $. Combined with previous proton integral results from SLAC experiment E143, we find $Γ_1^p - Γ_1^n = 0.160 \pm 0.015$ in agreement with the Bjorken sum rule prediction $Γ^p_1 - Γ^n_1 = 0.176 \pm 0.008$ at a $Q^2$ value of 3 (GeV$/c)^2$ evaluated using $α_s = 0.32\pm 0.05$.
dc.description97 pages, format is postscript file
dc.identifierhttps://arxiv.org/abs/hep-ex/9610007
dc.identifierhttp://arxiv.org/abs/hep-ex/9610007
dc.identifierPhys.Rev.D54:6620-6650,1996
dc.identifierdoi:10.1103/PhysRevD.54.6620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178694
dc.subjectHigh Energy Physics - Experiment
dc.titleDeep Inelastic Scattering of Polarized Electrons by Polarized $^3$He and the Study of the Neutron Spin Structure
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