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Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering

Leonard P. Gamberg, Gary R. Goldstein, Karo A. Oganessyan

TL;DR

The paper analyzes T-odd distributions contributing to nucleon transversity in semi-inclusive DIS, attributing leading-twist azimuthal asymmetries to final-state interactions modeled via a quark-diquark framework with Gaussian transverse momentum. It derives expressions for h1_perp and f1T_perp and demonstrates their relation in this setup while linking Sivers-type effects to rescattering phases. Applying Collins fragmentation and a simple D1 parameterization, it predicts a cos2phi asymmetry of about 2% and a Sivers-type asymmetry around 10% for pi+ production at HERMES energies, plus a z-dependent ratio testing the h1_perp–f1T_perp relation. The work emphasizes the connection between intrinsic k_perp, orbital angular momentum, and transversity, and discusses gauge-link phases as a mechanism for SSAs in SIDIS and other hard processes.

Abstract

The $T$-odd distribution functions contributing to transversity properties of the nucleon and their role in fueling nontrivial contributions to azimuthal asymmetries in semi-inclusive deep inelastic scattering are investigated. We use a dynamical model to evaluate these quantities in terms of HERMES kinematics.

Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering

TL;DR

The paper analyzes T-odd distributions contributing to nucleon transversity in semi-inclusive DIS, attributing leading-twist azimuthal asymmetries to final-state interactions modeled via a quark-diquark framework with Gaussian transverse momentum. It derives expressions for h1_perp and f1T_perp and demonstrates their relation in this setup while linking Sivers-type effects to rescattering phases. Applying Collins fragmentation and a simple D1 parameterization, it predicts a cos2phi asymmetry of about 2% and a Sivers-type asymmetry around 10% for pi+ production at HERMES energies, plus a z-dependent ratio testing the h1_perp–f1T_perp relation. The work emphasizes the connection between intrinsic k_perp, orbital angular momentum, and transversity, and discusses gauge-link phases as a mechanism for SSAs in SIDIS and other hard processes.

Abstract

The -odd distribution functions contributing to transversity properties of the nucleon and their role in fueling nontrivial contributions to azimuthal asymmetries in semi-inclusive deep inelastic scattering are investigated. We use a dynamical model to evaluate these quantities in terms of HERMES kinematics.

Paper Structure

This paper contains 4 sections, 13 equations, 2 figures.

Table of Contents

  1. Introduction
  2. T-Odd Distributions in Semi-Inclusive Reactions
  3. Asymmetries
  4. Conclusion

Figures (2)

  • Figure 1: Left Panel: The ${\langle \cos2\phi \rangle}_{ UU}$ asymmetry for $\pi^+$ production as a function of $x$. Right Panel: The ${\langle \cos2\phi \rangle}_{ UU}$ asymmetry for $\pi^+$ production as a function of $z$.
  • Figure 2: Left Panel: The $A^{\sin(\phi-\phi_S)}_{ UT}$$x$ dependent Sivers asymmetry. Right Panel: The $A^{\sin(\phi-\phi_S)}_{ UT}$$z$ dependent Sivers asymmetry.