Role of the Delta (1232) in deep inelastic scattering on polarized ³He and extraction of the neutron spin structure function g₁ⁿ(χ,Q²)

We consider the effect of the transitions n→Δ⁰ and p→Δ⁺ in deep inelastic scattering on polarized ³He on the extraction of the neutron spin structure function g₁ⁿ(χ,Q²). Making the natural assumption that these transitions are the dominant non-nucleonic contributions to the renormalization of the axial vector coupling constant in the A = 3 system, we find that the effect of Δ increases g₁ⁿ(χ,Q²) by 15-30% in the range 0.2 ≤χ≤0.6, where our considerations are applicable and the data for g₁ⁿ(χ,Q²) exist.