Axial Properties of the Nucleon with $1/N_c$-Corrections in the solitonic SU(3)-NJL-Model

Abstract

Within the semibosonized SU(3)-NJL model the mass splittings of baryons and the axial vector coupling constants of the nucleon are evaluated. The mass splittings of the hyperons are reproduced with great accuracy if second order corrections in $m_s$ are taken into account. New corrections to the axial vector currents coming from the subleading terms in the $1/N_c$ expansion are shown to be non-vanishing and substantially improving the phenomenological predictions for axial quantities. Finally the numerical values for the $g_{\mathrm{A}}$'s are $g_A^{(0)}=0.37$, $g_A^{(3)}=1.38$ and $g_A^{(8)}=0.31$ reproducing reasonably well the recent data from lepton scattering.

60 pages, (Bochum report No. RUB-TPII-41/93)

References in corpus (8)

• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• FLAVOR-SINGLET g_A FROM LATTICE QCD
• Analysis of Data on Polarized Lepton-Nucleon Scattering
• $1/N_c$ Rotational Corrections to $g_A$ and Isovector Magnetic Moment of the Nucleon
• Rotational Corrections to Axial Currents in Semibosonized SU(3) Nambu--Jona-Lasinio Model
• The Nambu-Jona-Lasinio Chiral Soliton with Constrained Baryon Number

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• Magnetic moments of the SU(3) decuplet baryons in the chiral quark-soliton model
• Tensor Charges of the Nucleon in the SU(3) Chiral Quark Soliton Model
• Photoproduction of Theta baryon from the neutron
• Strong decays of exotic and non-exotic heavy baryons in the chiral quark-soliton model
• Symmetry conserving approach to the quantization of the non-topological SU(3) soliton
• Axial-vector form factors of the nucleon within the chiral quark-soliton model and their strange components
• The width of ${\Theta }^{+}$ for large $N_c$ in chiral quark soliton model
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Light-flavor sea-quark distributions in the nucleon in the SU(3) chiral quark soliton model (II) -- theoretical formalism --
• Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
• Hyperon semileptonic decays and quark spin content of the proton
• The 27-plet Baryons from Chiral Soliton Models
• Nucleon-antinucleon Interaction from the Modified Skyrme Model
• The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model
• Pentaquark ${\Theta }^{\ast }$ States in {27} Baryon Multiplet from Chiral Soliton Model
• Semileptonic decay constants of octet baryons in the chiral quark-soliton model
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Flavor structure of the unpolarized and longitudinally-polarized sea-quark distributions in the nucleon
• Strange vector form factors of the nucleon in the SU(3) chiral quark-soliton model with the proper kaonic cloud
• Axial current matrix elements and pentaquark decay widths in chiral soliton models
• Nucleon Structure Functions in the Three Flavor NJL Soliton Model
• A Top Quark Soliton and its Anomalous Chromomagnetic Moment
• Quark spin content of SU(3) light and singly heavy baryons
• Strangeness Contribution to the Polarized Nucleon Structure Function $g_1(x)$
• Mass splittings of the baryon decuplet and antidecuplet with the second-order flavor symmetry breakings within a chiral soliton model
• The 35-plet Baryons from Chiral Soliton Models
• Isovector helicity quark quasi-distributions inside a large Nc nucleon
• Photoproduction of the Theta^+ and its vector and axial-vector structure
• Structure of the $\Omega$ baryon and the kaon cloud
• Representation Mixing and Exotic Baryons in the Skyrme Model