Transverse spin structure of the nucleon from lattice QCD simulations

Abstract

We present the first calculation in lattice QCD of the lowest two moments of transverse spin densities of quarks in the nucleon. They encode correlations between quark spin and orbital angular momentum. Our dynamical simulations are based on two flavors of clover-improved Wilson fermions and Wilson gluons. We find significant contributions from certain quark helicity flip generalized parton distributions, leading to strongly distorted densities of transversely polarized quarks in the nucleon. In particular, based on our results and recent arguments by Burkardt [Phys. Rev. D 72 (2005) 094020], we predict that the Boer-Mulders-function $h_1^{\perp }$, describing correlations of transverse quark spin and intrinsic transverse momentum of quarks, is large and negative for both up and down quarks.

arXiv comment4 pages, 5 figures

References in corpus (23)

• Generalized Parton Distributions
• Time-reversal odd distribution functions in leptoproduction
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Transverse Polarisation of Quarks in Hadrons
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Generalized parton distributions with helicity flip
• Generalized Parton Distributions from Lattice QCD
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
• Spin densities in the transverse plane and generalized transversity distributions
• Chiral-odd generalized parton distributions in constituent quark models
• Quark helicity flip generalized parton distributions from two-flavor lattice QCD
• Chromodynamic Lensing and Transverse Single Spin Asymmetries
• Probing chiral-odd GPD's in diffractive electroproduction of two vector mesons
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Transverse Structure of Nucleon Parton Distributions from Lattice QCD
• Transversity Distribution Does Not Contribute to Hard Exclusive Electroproduction of Mesons
• Form factor decomposition of generalized parton distributions at leading twist
• Generalized parton distributions and transversity from full lattice QCD
• Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors

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