Role of the Delta (1232) in DIS on polarized ${}^3$He and extraction of the neutron spin structure function $g_1^n(x,Q^2)$

Abstract

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 extraction of the neutron spin structure function $g_1^n(x,Q^2)$. 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 $\Delta$ increases $g_1^n(x,Q^2)$ by $10÷40$% in the range $0.05\le x\le 0.6$, where our considerations are applicable and most of the data for $g_1^n(x,Q^2)$ exist.

Comments: 23 pages, 6 figures, revtex