Axial-vector form factors for the low lying octet baryons in the chiral quark constituent model

TL;DR

This paper calculates the axial-vector form factors of low-lying octet baryons using the chiral quark model, analyzing symmetry breaking effects and strange quark contributions to nucleon spin.

Contribution

It provides a detailed calculation of axial-vector form factors incorporating chiral and SU(3) symmetry breaking within the chiral quark model.

Findings

Axial-vector form factors are computed for octet baryons.

Chiral symmetry breaking effects are analyzed.

Strange quark contributions to nucleon spin are discussed.

Abstract

We have calculated the axial-vector form factors of the low lying octet baryons ($N$, $\Sigma$, $\Xi$ and $\Lambda$) in the chiral constituent quark model ($\chi$CQM). In particular, we have studied the implications of chiral symmetry breaking and SU(3) symmetry breaking for the singlet ($g^0_{A}$) and non-singlet ($g^3_{A}$ and $g^8_{A}$) axial-vector coupling constants expressed as combinations of the spin polarizations at zero momentum transfer. The conventional dipole form of parametrization has been used to analyse the $Q^2$ dependence of the axial-vector form factors ($G^0_{A}(Q^2)$, $G^3_{A}(Q^2)$ and $G^8_{A}(Q^2)$). The total strange singlet and non-singlet contents ($G_s^0(Q^2)$, $G_s^3(Q^2)$ and $G_s^8(Q^2)$) of the nucleon determining the strange quark contribution to the nucleon spin ($\Delta s$) have also been discussed.