${}^3\mathrm{He}$ spin-dependent structure functions, $g_1^3\left(x\right)$ and $g_2^3\left(x\right)$, which parametrize the hadronic tensor in polarized deep-inelastic scattering, were evaluated within the Poincaré-covariant light-front framework. The Bakamjian-Thomas construction of the Poincaré generators allows us to make use of a realistic ${}^3\mathrm{He}$ wave function, obtained from refined nuclear phenomenological potentials. The same approach was already successfully applied to the ${}^3\mathrm{He}$ and ${}^4\mathrm{He}$ unpolarized deep-inelastic scattering. To investigate the neutron polarized structure functions, $g_1^n$ and $g_2^n$, a readily implementable procedure aimed at extracting the neutron spin structure functions from those of ${}^3\mathrm{He}$ is shown to hold. Moreover, the first moment of $g_1^3\left(x\right)$ was evaluated, aiming at providing a valuable check of the Bjorken sum rule. The present analysis is relevant for experiments involving polarized beams planned at future facilities such as electron ion colliders.

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• Deep inelastic scattering
• Few-body systems
• Nucleon spin structure
• Ab initio calculations