Polarized Lambda hyperon production in Semi-inclusive deep inelastic scattering off an unpolarized nulceon target

TL;DR

This paper investigates polarized Lambda hyperon production in semi-inclusive deep inelastic scattering, analyzing spin asymmetries and cross sections within a comprehensive twist-3 transverse momentum dependent framework.

Contribution

It provides a complete twist-3 level decomposition of the fragmentation correlator and explicit cross section expressions for polarized Lambda production in SIDIS.

Findings

Derived the cross section to order 1/Q

Presented polarized structure functions for spin asymmetries

Analyzed longitudinal and transverse polarization effects

Abstract

We study the production of polarized $\Lambda$ hyperon in semi-inclusive deep inelastic scattering off an unpolarized target. We include the cases in which the $\Lambda$ hyperon is longitudinally polarized or transversely polarized, and in which the lepton beam is unpolarized or longitudinally polarized. Within the framework of the transverse momentum dependent factorization, we take into account the complete decomposition of the parton correlator for fragmentation up to twist-3. We present the cross section of the process to order $1/Q$. The expressions of the polarized structure functions, which may give rise to various spin asymmetries, are also given.