Work

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

Year: 2024

Type: preprint

Abstract: $^3$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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2406.15010

Authors: Proietti, Eleonora, Fornetti, Filippo, Pace, Emanuele, Rinaldi, Matteo, Salmè, Giovanni, Scopetta, Sergio

Institutions: University of Pisa, University of Perugia, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, University of Rome Tor Vergata

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Strong, European Commission

Awards: G14744916, G3111662533, The strong interaction at the frontier of knowledge: fundamental research and applications, G434337789

OpenAlex ID: W4399990990

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