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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2406.15010 |
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| _version_ | 1866913399934287872 |
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| author | Proietti, Eleonora Fornetti, Filippo Pace, Emanuele Rinaldi, Matteo Salmè, Giovanni Scopetta, Sergio |
| author_facet | Proietti, Eleonora Fornetti, Filippo Pace, Emanuele Rinaldi, Matteo Salmè, Giovanni Scopetta, Sergio |
| contents | $^3$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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15010 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $^3$He spin-dependent structure functions within the relativistic Light-Front Hamiltonian dynamics Proietti, Eleonora Fornetti, Filippo Pace, Emanuele Rinaldi, Matteo Salmè, Giovanni Scopetta, Sergio Nuclear Theory High Energy Physics - Phenomenology $^3$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. |
| title | $^3$He spin-dependent structure functions within the relativistic Light-Front Hamiltonian dynamics |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.15010 |