Nucleon form factors and static properties of baryons in a quark model

The nucleon electromagnetic form factors $G_E^p\left(q^2\right)$, $G_M^p\left(q^2\right)$, $G_M^n\left(q^2\right)$, and the axial-vector form factor $G_A\left(q^2\right)$ are calculated in a simple independent-quark model based on the Dirac equation with a logarithmic confining potential of the form $V^{\prime }\mathrm{}\left(r\right)=(1+{\gamma }^0)a\ln \left(\frac{r}{b}\right)$. The respective rms radii associated with $G_E^p\left(q^2\right)$ and $G_A\left(q^2\right)$ come out as ${\left({〈r^2〉}_E^P\right)}^{\frac{1}{2}}=0.938\mathrm{}$ fm and ${〈r_A^2〉}^{\frac{1}{2}}=0.953\mathrm{}$ fm. The magnetic moments, charge radii, and axial-vector coupling-constant ratios for octet baryons are also calculated with the appropriate center-of-mass correction. The results so obtained are quite comparable to experimental data.