Spin-dependent structure functions of the proton in a constituent quark model

Spin-dependent structure functions g₁^p(x,Q²) and g₂^p(x,Q²) for the proton have been derived at the valency quark level in a relativistic independent quark model with an effective potential in equally mixed scalar-vector harmonic form. The level of accuracy of the functional form, so derived at the model scale of a low Q², has been tested through a reasonable verification of the relevant sum rules due to Ellis and Jaffe in the case of g₁^p(x,Q²) as well as Burkhardt and Cottingham in the case of g₂^p(x,Q²).The twist-2 and the twist-3 components of g₂^p(x,Q²) have also been separated at this level without effecting any further Q² evolution. But g₁^p(x,Q²) has been evolved from a reference scale of Q₀²≃0.1GeV² to Q²=10.7GeV² to find a satisfactory comparison with the available experimental data.