Right Handed Weak Currents in Sum Rules for Axial-Vector Constant Renormalization

The recent experimental results on deep inelastic polarized lepton scattering off proton, deuteron, and ³He together with polarized neutron β-decay data are analyzed. It is shown that the problem of Ellis-Jaffe and Bjorken sum rules deficiency and the neutron paradox could be solved simultaneously by assuming a small right handed current (RHC) admixture in the weak interaction Lagrangian. The possible RHC impact on the pion-nucleon σ term and Gamow-Teller sum rule for (p,n) nuclear reactions is pointed out.