Axial exchange currents and the spin content of the nucleon
Barquilla-Cano, D. · Buchmann, A. J. · Hernandez, E.
Original · EN
In a chiral quark model where chiral symmetry is introduced via a non-linear sigma model, we evaluate the axial couplings gₐ(0), gₐ⁸(0) and gₐ⁰(0)related to the spin structure of the nucleon. Our calculation includes one-body and two-body axial current and pion absorption operators, which satisfy the Partial Conservation of Axial Current (PCAC) condition. While gₐ(0) is dominated by the one-body axial current we find significant corrections due to two-body axial exchange currents in gₐ⁸(0) and gₐ⁰(0). Interestingly, the axial current associated with gluon exchange reduces gₐ⁸(0) from 1 to 0.6. Our analysis shows that the so-called ``proton spin crisis'' can be resolved in a constituent quark model in which PCAC is satisfied. Furthermore, we use the PCAC constraint in order to determine the couplings of the eta and eta' mesons to nucleons.
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