On the relation between x-dependences of the higher-twist contribution to F 3 and g 1 p -g 1 n

Abstract

We compare the higher twist (HT) contribution to the unpolarized structure function $F_3$ with that one to the nonsinglet combination g_1^p - g_1^n of the polarized proton and neutron structure functions using the assumption that the HT contributions to the Gross-Llewellyn Smith and the Bjorken sum rules are similar. We have found, that the relation 1/3x h^{xF_3}(x) ~ 6/g_A h^{g_1^p - g_1^n}(x) is valid for x > 0.1 and for x > 0.2 in the case of LO and NLO QCD approximations, respectively.