Status of the Proton Spin Problem

Abstract

The proton spin problem triggered by the EMC experiment and its present status are closely examined. Recent experimental and theoretical progresses and their implications are reviewed. It is pointed out that the sign of the sea-quark polarization generated perturbatively by hard gluons via the anomaly mechanism is predictable: It is negative if the gluon spin component is positive. We stress that the polarized nucleon structure function $g_1(x)$ is independent of the $k_{\perp }$-factorization scheme chosen in defining the quark spin density and the hard photon-gluon scattering cross section. Consequently, the anomalous gluon and sea-quark interpretations for ${\Gamma }_1$, the first moment of $g_1(x)$, are equivalent. It is the axial anomaly that accounts for the observed suppression of ${\Gamma }_1^p$.

Comments: 75 pages, 7 figures. (i) Section 6.1 is revised, (ii) some new discussions are added to Sec. 8, and (iii) several new references are added to appear in Int. J. Modern Physics A