$^3$He spin-dependent structure functions within the relativistic Light-Front Hamiltonian dynamics

Le résumé fourni par la source

$^3$He spin-dependent structure functions, $g^3_1(x)$ and $g^3_2(x)$, 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 $^3$He wave function, obtained from refined nuclear phenomenological potentials. The same approach was already successfully applied to the $^3$He and $^4$He unpolarized deep-inelastic scattering. To investigate the neutron polarized structure functions, $g^n_1$ and $g^n_2$, a readily implementable procedure, aimed at extracting the neutron spin structure functions from those of $^3$He, is shown to hold. Moreover, the first moment of $g^3_1(x)$ was evaluated, aiming at providing a valuable check of the Bjorken sum rule. The present analysis is relevant for experiments nvolving polarized beams planned at the future facilities, like the Electron Ion Colliders.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.