An alternative equation, resumming of the $\ln^2 1/x$ terms for the polarized nonsinglet structure function $g_1^{ NS}$ at small $x$ is presented. Construction of the GLAP-like formula for the auxiliary function, corresponding to the $g_1^{ NS}$ at rescaled $Q^2$ variable is shown. Predictions of this approach for the $g_1^{ NS}$ function at small $x$ in a case of a flat as well as a dynamical input are given. The role of the fixed coupling constant and the running one is also discussed.
Categories: hep-ph