Light-Front spin-dependent Spectral Function and Nucleon Momentum Distributions for a Three-Body System

Abstract

Poincare' covariant definitions for the spin-dependent spectral function and for the momentum distributions within the light-front Hamiltonian dynamics are proposed for a three-fermion bound system, starting from the light-front wave function of the system. The adopted approach is based on the Bakamjian-Thomas construction of the Poincare' generators, that allows one to easily import the familiar and wide knowledge on the nuclear interaction into a light-front framework. The proposed formalism can find useful applications in refined nuclear calculations, like the ones needed for evaluating the EMC effect or the semi-inclusive deep inelastic cross sections with polarized nuclear targets, since remarkably the light-front unpolarized momentum distribution by definition fulfills both normalization and momentum sum rules. It is also shown a straightforward generalization of the definition of the light-front spectral function to an A-nucleon system.

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Cited by in corpus (14)

• Exposing Novel Quark and Gluon Effects in Nuclei
• Relativistic effects in model calculations of double parton distribution function
• Coherent deeply virtual Compton scattering off ${}^4$He
• Catching a glimpse of the parton structure of the bound proton
• Final state interactions and the extraction of neutron single spin asymmetries from SIDIS by a transversely polarized ${}^3$He target
• Systematic uncertainties from higher-twist corrections in DIS at large x
• Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics
• Incoherent deeply virtual Compton scattering off ${}^4$He
• Light-Front Transverse Momentum Distributions for $\mathcal{J}$=1/2 Hadronic Systems in Valence Approximation
• The European Muon Collaboration effect in Light-Front Hamiltonian Dynamics
• Generalized parton distributions of light nuclei
• EMC effect, few-nucleon systems and Poincaré covariance
• Three--Dimensional parton structure of light nuclei
• Poincare' covariant light-front spectral function and transverse momentum distribution