Axial and Vector Coupling Constants of Nucleons and Constituent Quarks in the Quasipotential Model

Abstract

Calculation of ratio of the nucleon axial and vector coupling constants $G_A/G_V$ in the framework of the quasipotential quark model has been performed. It was shown that in this model $G_A/G_V$ is defined by the ratio of the corresponding quark axial and and vector coupling constants $g_A/g_V$ and by the dimensionless parameter describing the relativistic relative quark motion and vanishing in the nonrelativistic limit. This relativistic parameter also defines nucleon magnetic moments. Thus we obtain relations independent of the form of the wave function: $G_A/G_V=(g_A/g_V)5(\mu^p-1)/6$, $\mu^p=(1-4\mu^n)/3$. Proton magnetic moment $\mu^p$ from the second relation reproduces the experimental value with the error of 3 %. Then the first relation allows us to find $(g_A/g_V)$ with 5% uncertainty: $(g_A/g_V)\in[0.809,0.850]$.