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

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

1994-03-20

arxiv.org/abs/hep-ph/9403314v1

Phys.Rev. D53 (1996) 485-503

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.53.485

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 $g_{\rm A}$'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.

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