Abstract
The axial vector coupling constants of the \ensuremath{\beta} decay processes of the neutron and hyperon are calculated in SU(3) chiral color dielectric model (CCDM). Using these axial coupling constants of the neutron and hyperon, in the CCDM we calculate the integrals of the spin-dependent structure functions for the proton and neutron. Our result is similar to the results obtained by MIT bag and cloudy bag models (CBM).
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