Calculation of fragmentation functions in two-hadron semi-inclusive processes

TL;DR

This paper calculates interference fragmentation functions in two-hadron semi-inclusive processes, providing numerical estimates and analyzing conditions for extracting transversity in deep-inelastic scattering.

Contribution

It introduces an extended spectator model for hadronization, offering a complete calculation of interference fragmentation functions and their azimuthal angular dependence.

Findings

Numerical estimates for proton-pion pairs near Roper resonance

Analysis of two-pion production near rho meson mass

Identification of conditions favorable for transversity extraction

Abstract

We investigate the properties of interference fragmentation functions arising from the emission of two leading hadrons inside the same jet for inclusive lepton-nucleon deep-inelastic scattering. Using an extended spectator model for the mechanism of the hadronization, we give a complete calculation and numerical estimates for the examples of a proton-pion pair produced with invariant mass on the Roper resonance, and of two pions produced with invariant mass close to the $\rho$ mass. We discuss azimuthal angular dependence of the leading order cross section to point up favourable conditions for extracting transversity from experimental data.