Are all Boer-Mulders functions alike?

Details Are all Boer-Mulders functions alike? Are all Boer-Mulders functions alike?

2007-05-11

arxiv.org/abs/0705.1573v2

Phys.Lett.B658:130-137,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 1 figure

Scientific paper

10.1016/j.physletb.2007.09.064

Chirally odd generalized parton distributions (GPDs) and the Boer-Mulders function provide valuable information about spin-orbit correlations for quarks in nucleons and other hadrons. We compare results for the relevant GPD $\bar{E}^q_T$ from a variety of phenomenological models as well as recent lattice results. We find that $\bar{E}^q_T>0$ for nucleons as well as the pion and for both $u$ and $d$ quark. As a result, the corresponding Boer Mulders functions are all expected to be negative. The sign of $\bar{E}^q_T$ arises from the relative sign between the upper and lower Dirac components for the quark wave functions.

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