Abstract
The nucleon axial current and related form factors are investigated in a model of relativistic quarks confined by a scalar potential of the formM(r)=c r n, with special emphasis on center-of-mass corrections and pionic effects. Pionic contributions to the axial form factorG A (q 2) from af π∂μφ term with constantf π are demonstrated to vanish. The pion-nucleon form factorG πNN (q 2) is derived and turns out to be longer ranged thanG A (q 2). The induced pseudo-scalar form factorG p (q 2) is shown to be connected toG πNN (q 2) by the standard PCAC relation, contributions from the quark core toG p (q 2) being negligibly small.
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Work supported in part by Deutsche Forschungsgemeinschaft (contract We 655/7-6)
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Tegen, R., Weise, W. The nucleon axial form factor and the pion-nucleon vertex function. Z Physik A 314, 357–364 (1983). https://doi.org/10.1007/BF01412932
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DOI: https://doi.org/10.1007/BF01412932