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We consider the effect of the transitions $n \to \Delta^{0}$ and $p \to\Delta^{+}$ in deep inelastic scattering on polarized $^3$He on the extractionof the neutron spin structure function $g_{1}^{n}(x,Q^2)$. Making the naturalassumption that these transitions are the dominant non-nucleonic contributionsto the renormalization of the axial vector coupling constant in the A=3 system,we find that the effect of $\Delta$ increases $g_{1}^{n}(x,Q^2)$ by $10 \div40$% in the range $0.05 \le x \le 0.6$, where our considerations are applicableand most of the data for $g_{1}^{n}(x,Q^2)$ exist.Comment: 23 pages, 6 figures, revte

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

Role of the Delta (1232) in deep inelastic scattering on polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>and extraction of the neutron spin structure function<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:…

Role of the Delta (1232) in deep inelastic scattering on polarized3Heand extraction of the neutron spin structure functiong1