Distorted spin-dependent spectral function of an A=3 nucleus and semi-inclusive deep inelastic scattering processes

TL;DR

This paper introduces a distorted spin-dependent spectral function for A=3 nuclei to improve the analysis of semi-inclusive deep inelastic scattering, accounting for final state interactions and aiding the extraction of polarized parton distributions.

Contribution

It presents a novel distorted spectral function model for A=3 nuclei that incorporates final state interactions in semi-inclusive DIS, enhancing the accuracy of polarized parton distribution extraction.

Findings

Identifies kinematic regions with minimized final state effects for better parton distribution access.

Highlights regions dominated by final state interactions to study quark hadronization mechanisms.

Proposes extensions to mirror nuclei and standard SiDIS reactions for broader applications.

Abstract

The distorted spin-dependent spectral function of a nucleon inside an A=3 nucleus is introduced as a novel tool for investigating the polarized electron scattering off polarized $^3$He in semi-inclusive DIS regime (SiDIS), going beyond the standard plane wave impulse approximation. This distribution function is applied to the study of the spectator SiDIS, $\vec{^3{\rm He}}(\vec e, e' ~{^2}{\rm H})X$, in order to properly take into account the final state interaction between the hadronizing quark and the detected deuteron, with the final goal of a more reliable extraction of the polarized parton-distribution $g_1(x)$ inside a bound proton. Our analysis allows to single out two well-defined kinematical regions where the experimental asymmetries could yield very interesting information: the region where the final state effects can be minimized, and therefore the direct access to the parton distributions in the proton is feasible, and the one where the final state interaction dominates, and the spectator SiDIS reactions can elucidate the mechanism of the quark hadronization itself. The perspectives of extending our approach i) to the mirror nucleus, $^3$H, for achieving a less model-dependent flavor decomposition, and ii) to the asymmetries measured in the standard SiDIS reactions, $\vec e + \vec{^3 {\rm He}} \to e' + h+X$ with $h$ a detected fast hadron, with the aim of extracting the neutron transversity, are discussed.