The spin structure of the pion
D. Br\"ommel, M. Diehl, M. G\"ockeler, Ph. H\"agler, R. Horsley, Y., Nakamura, D. Pleiter, P.E.L. Rakow, A. Sch\"afer, G. Schierholz, H. St\"uben, and J. M. Zanotti (for the QCDSF collaboration, UKQCD collaboration)
TL;DR
This paper presents the first lattice QCD calculation of the pion's transverse spin structure, revealing asymmetries in quark distributions that support the universality of Boer-Mulders functions.
Contribution
It provides the first lattice QCD results on the pion's transverse spin structure, showing similarities with nucleon results and supporting Boer-Mulders function universality.
Findings
Observed asymmetry in transversely polarized quark distributions in the pion
Results are comparable to nucleon asymmetries
Supports hypothesis of universal Boer-Mulders functions
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.
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