The axial form factor in the Nambu-Jona-Lasinio model

Meißner, Thomas; Goeke, K.

doi:10.1007/bf01288435

Cited by 24 publications

(4 citation statements)

References 45 publications

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“…One should note, however, that the physically relevant region for the constituent mass is around M = 400 MeV, where the nucleon observables get reproduced by the reference profile very well. The calculated nucleon observables are in sufficient agreement with similar calculations [ 16,21,17]. The too small value of the axial-vector coupling constant (gA ~0.6,~0.8) in comparison to the experimental value (g~P~ 1.25) is a lack shared by many chiral models of the nucleon.…”

Section: Testing the Reference Profile On Nucleon Observablessupporting

confidence: 78%

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On size and shape of the average meson fields in the semibosonized Nambu & Jona-Lasinio model

Wünsch

Goeke

Meißner

1994

Z. Physik A - Hadrons and Nuclei

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Abstract.We consider the bosonized form of a two-flavor Nambu & Jona-Lasinio model involving scalar-isoscalar and pseudoscalar-isovector quark-quark interaction. Solitonic meson fields are obtained by minimizing the effective Euclidean action. In dependence on the constituent quark mass, which is the only free parameter in the model, we evaluate a series of meson profiles and compare them with a properly parameterized reference profile. We show that the self-consistent fields do in fact practically not depend on the constituent quark mass. Their shape can be very well approximated by this reference profile which interpolates between the correct asymptotic behavior for small and large radii. To demonstrate the accuracy of the approximation we evaluate several static properties like energy, mean square radius, axial-vector constant and delta-nucleon mass splitting using both self-consistent and reference profiles. The agreement is found to be very well in the physically relevant mass region.

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Section: Testing the Reference Profile On Nucleon Observablessupporting

confidence: 78%

“…We consider the bosonized form [6,7,19] of the twoflavor NJL Lagrangean [1] (for recent reviews [2][3][4][5] Details on the construction of baryons as hedgehog solitons in the model can be found in [5,16,17,21]. Therefore we keep our treatment very brief.…”

Section: The Bosonized Nambu and Jona-lasinio Modelmentioning

confidence: 99%

On size and shape of the average meson fields in the semibosonized Nambu & Jona-Lasinio model

Wünsch

Goeke

Meißner

1994

Z. Physik A - Hadrons and Nuclei

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“…The axial charge and axial-vector form factors of the nucleon have been studied within the χQSM previously by various works [33][34][35][36][37][38][39]. In fact, the previous calculations of the axial charge g A expose well how the χQSM has been developed and understood.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, the previous calculations of the axial charge g A expose well how the χQSM has been developed and understood. The first calculations of g A [33,34] did not consider the rotational 1=N c corrections that arise from the time ordering of the collective operators. The numerical result for g A turned out to be much underestimated, compared with the experimental data.…”

Section: Introductionmentioning

confidence: 99%

Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking

2020

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The axial-vector form factors and axial-vector constants of the baryon decuplet are investigated within a pion mean-field approach, which is also known as the chiral quark-soliton model. Given an axial-vector current with a specified flavor, there are four different form factors of a decuplet baryon. When we consider the singlet, triplet, and octet axial-vector currents, we have twelve different form factors for each member of the baryon decuplet. We compute all these axial-vector form factors of the baryon decuplet, taking into account the rotational 1=N c corrections and effects of flavor SU(3) symmetry breaking. We find that, for a given flavor, two of the form factors for a decuplet baryon are only independent within the present approach. We first examine properties of the axial-vector form factors of the Δ þ isobar and Ω − hyperon. We also compare the results of the triplet axial-vector form factors of Δ þ with those from lattice QCD and those of the present work for the axial-vector constants of the baryon decuplet with the lattice data. All the results for other members of the baryon decuplet are then presented. The results of the axial charges are compared with those of other works. The axial masses and axial radii are also discussed.

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The Nambu-Jona-Lasinio model with scalar, pseudoscalar, vector and axialvector mesons: Solitonic solutions and nucleon properties

Meißner¹,

Schüren²,

Döring³

et al.

Quark Cluster Dynamics

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The axial form factor in the Nambu-Jona-Lasinio model

Cited by 24 publications

References 45 publications

On size and shape of the average meson fields in the semibosonized Nambu & Jona-Lasinio model

On size and shape of the average meson fields in the semibosonized Nambu & Jona-Lasinio model

Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking

The Nambu-Jona-Lasinio model with scalar, pseudoscalar, vector and axialvector mesons: Solitonic solutions and nucleon properties

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