Axial Anomaly and the Nucleon Spin

Abstract

In this letter, we have taken a particular Lagrangian, which was introduced to resolve U(1) problem, as an effective QCD Lagrangian, and have derived a formula of the quark content of the nucleon spin. The difference between quark content of the proton (ΔΣ_p) and that of the neutron (ΔΣ_n) is evaluated by this formula. Neglecting the higher-order isospin corrections, this formula can reduce to Efremov's results in the large N_c limit.

(1) A few changes and corrections made following Referee. (2) The difference between quark content of the proton (ΔΣ_p) and that of the neutron (ΔΣ_n) is evaluated. Neglecting the higher-order isospin corrections, this formula can reduce to Efremov's results in the large N_c limit