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.
Cite
@article{arxiv.1609.03804,
title = {Light-Front spin-dependent Spectral Function and Nucleon Momentum Distributions for a Three-Body System},
author = {Alessio Del Dotto and Emanuele Pace and Giovanni Salmè and Sergio Scopetta},
journal= {arXiv preprint arXiv:1609.03804},
year = {2017}
}