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In the past few years, a lot of evidences have been accumulated, whichindicate that the gluon polarization inside the nucleon is likely to be smallat least at the low renormalization scales. On the other hand, the recentlattice QCD analyses suggest that the net orbital angular momentum carried bythe quarks is nearly zero. There is also some indication noticed by Brodsky andGardner based on the COMPASS observation of small single-spin asymmetry on theisoscalar deuteron target, that the gluon orbital angular momentum inside thenucleon is likely to be small. Naively combining all these observations, we areled to a rather embarrassing conclusion that the nucleon constituentsaltogether do not carry enough amount of angular momentum saturating the totalnucleon spin. We show that this somewhat confused state of affairs can becleared up only by paying careful attention to the scale dependencies of thenucleon spin decomposition.

Phenomenological analysis of the nucleon spin contents and their scale dependence