Chiral Symmetry and the Nucleon Spin Structure Functions

Abstract

We carry out a systematic investigation of twist-two spin dependent structure functions of the nucleon within the framework of the chiral quark soliton model (CQSM) by paying special attention to the role of chiral symmetry of QCD. We observe a substantial difference between the predictions of the longitudinally polarized distribution functions and the transversity distribution ones. That the chiral symmetry is responsible for this difference can most clearly be seen in the isospin dependence of the corresponding first moments, i.e. the axial and tensor charges. The CQSM predicts $g_A^{(0)} / g_A^{(3)} \simeq 0.25$ for the ratio of the isoscalar to isovector axial charges, and $g_T^{(0)} / g_T^{(3)} \simeq 0.46$ for the ratio of the isoscalar to isovector tensor charges, which should be compared with the prediction of the naive (non-chiral) MIT bag model, $g_A^{(0)} / g_A^{(3)} = g_T^{(0)} / g_T^{(3)} = 3 / 5$.