Perturbative QCD predictions for the small x behaviour of unpolarized and polarized deep inelastic scattering structure functions

The perturbative QCD predictions for the small x behaviour of the nucleon structure functions F2,L(x,Q 2) and g1(x,Q 2) are summarized. The importance of the double logarithmic terms for the small x behaviour of the spin structure function g1(x,Q 2) is emphasised. These terms correspond to the contributions containing the leading powers of αsln(1/x) 2 at each order of the perturbative expansion. In the non-singlet case they can be approximately accounted for by the ladder diagrams with quark (antiquark) exchange. We solve the corresponding integral equation with the running coupling effects taken into account and present estimate of the effective slope controlling the small x behaviour of the non-singlet spin structure function g1(x,Q 2) of a nucleon. 1 to appear in special issue of Acta Physica Polonica in honour of Professor Wojciech Królikowski’s 70th birthday Permanent address