2004
DOI: 10.1088/0954-3899/30/6/009
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Axial form factor of the nucleon in the perturbative chiral quark model

Abstract: Abstract.We apply the perturbative chiral quark model (PCQM) at one loop to analyze the axial form factor of the nucleon. This chiral quark model is based on an effective Lagrangian, where baryons are described by relativistic valence quarks and a perturbative cloud of Goldstone bosons as dictated by chiral symmetry. We apply the formalism to obtain analytical expressions for the axial form factor of the nucleon, which is given in terms of fundamental parameters of low-energy pion-nucleon physics (weak pion de… Show more

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Cited by 21 publications
(26 citation statements)
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“…These studies demonstrate the PCQM is one of the effective models in the low energy hadron physics, and indicate that the virtual meson cloud exists mainly outside of the quark core. But the PCQM theoretical results [3][4][5][6] of the electromagnetic and axial form factors of baryons are in good agreement with experimental data only at very low momentum transfer, descending quickly with the momentum transfer increasing. In those works, 3-6 a variational Gaussian ansatz have been employed for the quark wave function.…”
Section: Introductionsupporting
confidence: 66%
See 1 more Smart Citation
“…These studies demonstrate the PCQM is one of the effective models in the low energy hadron physics, and indicate that the virtual meson cloud exists mainly outside of the quark core. But the PCQM theoretical results [3][4][5][6] of the electromagnetic and axial form factors of baryons are in good agreement with experimental data only at very low momentum transfer, descending quickly with the momentum transfer increasing. In those works, 3-6 a variational Gaussian ansatz have been employed for the quark wave function.…”
Section: Introductionsupporting
confidence: 66%
“…The perturbative chiral quark model (PCQM) was developed a decade ago 1, 2 and has been successfully applied to the electromagnetic and axial form factors of baryons, [3][4][5][6] etc. These studies demonstrate the PCQM is one of the effective models in the low energy hadron physics, and indicate that the virtual meson cloud exists mainly outside of the quark core.…”
Section: Introductionmentioning
confidence: 99%
“…However, the previous work on the axial form factor of the nucleon [30] shows that the PCQM theoretical result of the nucleon axial form factor is in good agreement with the experimental data only at very low momentum transfer Q 2 , descending quickly with the momentum transfer Q 2 increasing. It is noted that a variational Gaussian ansatz has been employed for the quark wave functions [30]. As we argue in Ref.…”
Section: Introductionmentioning
confidence: 63%
“…The axial form factors of the octet baryons, including the nucleon, have been studied using constituent and chiral quark models [13,[25][26][27][28][29][30][31][32][33][34][35][36][37], based on the DysonSchwinger equations [38][39][40][41], models with meson cloud dressing [42][43][44][45][46][47][48][49][50][51][52][53][54], large-N C and chiral perturbation theory [5,[55][56][57][58][59][60][61][62][63][64][65] and QCD sum rules [66][67][68]. Recently, lattice QCD simulations for the nucleon became available for Q 2 = 0 [69][70][71]…”
Section: Introductionmentioning
confidence: 99%