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Partial conservation of the axial current and axial exchange currents in the nucleon

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arxiv nucl-th/0204067 v2 pith:EIZKIINR submitted 2002-04-26 nucl-th

classification nucl-th
keywords axialcurrentexchangenucleoncurrentsformconservationcontributions
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abstract

We discuss the axial form factors of the nucleon within the context of the nonrelativistic chiral quark model. Partial conservation of the axial current (PCAC) imposed at the quark operator level enforces an axial coupling for the constituent quarks which is smaller than unity. This leads to an axial coupling constant of the nucleon $g_A$ in good agreement with experiment. PCAC also requires the inclusion of axial exchange currents. Their effects on the axial form factors are analyzed. We find only small exchange current contributions to $g_A$, which is dominated by the one-body axial current. On the other hand, axial exchange currents give sizeable contributions to the axial radius of the nucleon $r_A^2$, and to the non-pole part of the induced pseudoscalar form factor $g_P$. For the latter, the confinement exchange current is the dominant term.

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  1. Nucleon relativistic weak-neutral axial-vector four-current distributions

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The 3D axial charge density of a spin-1/2 hadron is parity-odd and controlled by the induced pseudotensor form factor G_T^Z, while the second-class current drops out of the mean-square axial and spin radii.

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