# Three--Dimensional parton structure of light nuclei

## TL;DR

This paper reviews methods to explore the three-dimensional parton structure of light nuclei, especially helium-3, using deep exclusive and semi-inclusive scattering, highlighting neutron dominance in certain GPDs and new analysis techniques.

## Contribution

It introduces a comprehensive review of 3D nuclear structure studies via GPDs and TMDs, including new techniques for nuclear effects and final state interactions in helium-3.

## Key findings

- Neutron contribution dominates certain GPDs of helium-3 at low momentum transfer.
- A new technique accounts for nuclear effects in GPD analysis.
- Calculation of Sivers and Collins asymmetries in helium-3 is presented.

## Abstract

Two promising directions beyond inclusive deep inelastic scattering experiments, aimed at unveiling the three dimensional structure of the bound nucleon, are reviewed, considering in particular the $^3$He nucleus. The 3D structure in coordinate space can be accessed through deep exclusive processes, whose non-perturbative part is encoded in generalized parton distributions (GPDs). In this way, the distribution of partons in the transverse plane can be obtained. As an example, coherent deeply virtual Compton scattering (DVCS) off $^3$He nuclei, important to access the neutron GPDs, will be discussed. In Impulse Approximation (IA), the sum of two GPDs of $^3$He, $H$ and $E$, at low momentum transfer, turns out to be dominated by the neutron contribution. Besides, a technique, able to take into account the nuclear effects included in the Impulse Approximation analysis, has been developed. The spin dependent GPD $\tilde H$ of $^3$He is also found to be largely dominated, at low momentum transfer, by the neutron contribution. Semi-inclusive deep inelastic scattering processes access the momentum space 3D structure parameterized through transverse momentum dependent parton distributions. A distorted spin-dependent spectral function has been recently introduced for $^3$He, in a non-relativistic framework, to take care of the final state interaction between the observed pion and the remnant in semi-inclusive deep inelastic electron scattering off transversely polarized $^3$He. The calculation of the Sivers and Collins single spin asymmetries for $^3$He, and a straightforward procedure to effectively take into account nuclear dynamics and final state interactions, will be reviewed. The Light-front dynamics generalization of the analysis is also addressed.