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The neutron longitudinal and transverse asymmetries $A^n_1$ and $A^n_2$ havebeen extracted from deep inelastic scattering of polarized electrons by apolarized $^3$He target at incident energies of 19.42, 22.66 and 25.51 GeV. Themeasurement allows for the determination of the neutron spin structurefunctions $g^n_1 (x,Q^2)$ and $g^n_2(x,Q^2)$ over the range $0.03 < x < 0.6$ atan average $Q^2$ of 2 (GeV$/c)^2$. The data are used for the evaluation of theEllis-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 anintegral ${\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 $\Gamma_1^n=\int^1_0g^n_1(x)dx = -0.031 \pm 0.006 (stat)\pm 0.009 (syst) $. Combined with previousproton integral results from SLAC experiment E143, we find $\Gamma_1^p -\Gamma_1^n = 0.160 \pm 0.015$ in agreement with the Bjorken sum rule prediction$\Gamma^p_1 - \Gamma ^n_1 = 0.176 \pm 0.008$ at a $Q^2$ value of 3 (GeV$/c)^2$evaluated using $\alpha_s = 0.32\pm 0.05$.Comment: 97 pages, format is postscript fil

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Deep inelastic scattering of polarized electrons by polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and the study of the neutron spin structure

Deep inelastic scattering of polarized electrons by polarizedHe3and the study of the neutron spin structure