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Axial exchange currents and the spin content of the nucleon

D. Barquilla-Cano·A. J. Buchmann·E. Hernandez
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Abstract

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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D. Barquilla-Cano, A. J. Buchmann, E. Hernandez. 2003-03-11. Axial exchange currents and the spin content of the nucleon. https://arxiv.org/abs/nucl-th/0303020

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