The nucleon axial form factor and the pion-nucleon vertex function

R. Tegen; W. Weise

doi:10.1007/BF01412932

The nucleon axial form factor and the pion-nucleon vertex function

R. Tegen, W. Weise

University of Regensburg

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82 Scopus citations

Abstract

The nucleon axial current and related form factors are investigated in a model of relativistic quarks confined by a scalar potential of the form M(r)=c rⁿ, with special emphasis on center-of-mass corrections and pionic effects. Pionic contributions to the axial form factor G_A(q²) from a f_π∂_μφ term with constant f_π are demonstrated to vanish. The pion-nucleon form factor G_πNN(q²) is derived and turns out to be longer ranged than G_A(q²). The induced pseudo-scalar form factor G_p(q²) is shown to be connected to G_πNN(q²) by the standard PCAC relation, contributions from the quark core to G_p(q²) being negligibly small.

Original language	English
Pages (from-to)	357-364
Number of pages	8
Journal	Zeitschrift für Physik A Atoms and Nuclei
Volume	314
Issue number	3
DOIs	https://doi.org/10.1007/BF01412932
State	Published - Oct 1983
Externally published	Yes

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10.1007/BF01412932

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abstract = "The nucleon axial current and related form factors are investigated in a model of relativistic quarks confined by a scalar potential of the form M(r)=c rn, with special emphasis on center-of-mass corrections and pionic effects. Pionic contributions to the axial form factor GA(q2) from a fπ∂μφ term with constant fπ are demonstrated to vanish. The pion-nucleon form factor GπNN(q2) is derived and turns out to be longer ranged than GA(q2). The induced pseudo-scalar form factor Gp(q2) is shown to be connected to GπNN(q2) by the standard PCAC relation, contributions from the quark core to Gp(q2) being negligibly small.",

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AU - Tegen, R.

AU - Weise, W.

PY - 1983/10

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N2 - The nucleon axial current and related form factors are investigated in a model of relativistic quarks confined by a scalar potential of the form M(r)=c rn, with special emphasis on center-of-mass corrections and pionic effects. Pionic contributions to the axial form factor GA(q2) from a fπ∂μφ term with constant fπ are demonstrated to vanish. The pion-nucleon form factor GπNN(q2) is derived and turns out to be longer ranged than GA(q2). The induced pseudo-scalar form factor Gp(q2) is shown to be connected to GπNN(q2) by the standard PCAC relation, contributions from the quark core to Gp(q2) being negligibly small.

AB - The nucleon axial current and related form factors are investigated in a model of relativistic quarks confined by a scalar potential of the form M(r)=c rn, with special emphasis on center-of-mass corrections and pionic effects. Pionic contributions to the axial form factor GA(q2) from a fπ∂μφ term with constant fπ are demonstrated to vanish. The pion-nucleon form factor GπNN(q2) is derived and turns out to be longer ranged than GA(q2). The induced pseudo-scalar form factor Gp(q2) is shown to be connected to GπNN(q2) by the standard PCAC relation, contributions from the quark core to Gp(q2) being negligibly small.

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JO - Zeitschrift für Physik A Atoms and Nuclei

JF - Zeitschrift für Physik A Atoms and Nuclei

IS - 3

ER -

The nucleon axial form factor and the pion-nucleon vertex function

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