The spin structure of the pion

Abstract

We present the first calculation of the transverse spin structure of the pion in lattice QCD. Our simulations are based on two flavors of non-perturbatively improved Wilson fermions, with pion masses as low as 400 MeV in volumes up to (2.1 fm)^3 and lattice spacings below 0.1 fm. We find a characteristic asymmetry in the spatial distribution of transversely polarized quarks. This asymmetry is very similar in magnitude to the analogous asymmetry we previously obtained for quarks in the nucleon. Our results support the hypothesis that all Boer-Mulders functions are alike.

4 pages, 6 figures; journal version (with original Fig.1 included); updated abstract, text and Figs. 3, 4, 5, 6; added reference; conclusions unchanged

References in corpus (7)

• Relations between generalized and transverse momentum dependent parton distributions
• Transverse spin structure of the nucleon from lattice QCD simulations
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• The pion form factor from lattice QCD with two dynamical flavours
• Are all Boer-Mulders functions alike?
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Monte Carlo simulation of single spin asymmetries in pion-proton collisions

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