Axial exchange currents and the spin content of the nucleon

Details Axial exchange currents and the spin content of the nucleon Axial exchange currents and the spin content of the nucleon

2003-03-10

arxiv.org/abs/nucl-th/0303020v2

Physics

Nuclear Physics

Nuclear Theory

30 pages, 3 figures

Scientific paper

In a chiral quark model where chiral symmetry is introduced via a non-linear sigma model, we evaluate the axial couplings g_A(0), g_A^8(0) and g_A^0(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 g_A(0) is dominated by the one-body axial current we find significant corrections due to two-body axial exchange currents in g_A^8(0) and g_A^0(0). Interestingly, the axial current associated with gluon exchange reduces g_A^8(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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