Collins effect in semi-inclusive deep inelastic scattering process with a $^3$He target

TL;DR

This paper refines predictions of the Collins effect in semi-inclusive deep inelastic scattering with a $^3$He target, updating previous calculations to provide more realistic asymmetry estimates for JLab experiments.

Contribution

It introduces an improved calculation method for the Collins effect asymmetries in SIDIS with a $^3$He target, correcting previous dilution factor assumptions.

Findings

Updated predictions for $ ext{sin}( ext{phi}_h+ ext{phi}_S)$ asymmetry at JLab 12 GeV

Predictions for $ ext{sin}( ext{phi}_h+ ext{phi}_S)$ at JLab 6 GeV

Predictions for $ ext{sin}(3 ext{phi}_h- ext{phi}_S)$ asymmetry related to pretzelosity

Abstract

We re-examine our previous calculation on the Collins effect in semi-inclusive deeply inelastic scattering (SIDIS) process with a $^3$He target, and find that our previous treatment on the dilution factors may cause the results larger than the realistic situation. We thus modify our calculation in an improved treatment with an updated prediction on the $\sin(\phi_h+\phi_S)$ asymmetry for the JLab 12 GeV under the transverse momentum dependent (TMD) factorization framework. Meanwhile, we also provide the prediction of such asymmetry for the JLab 6 GeV and the prediction of the $\sin(3\phi_h-\phi_S)$ asymmetry related to pretzelosity.