TMDs and Drell-Yan Experiments at Fermilab and J-PARC

The roles of the Drell-Yan experiments in studying the Transverse-Momentum-Dependent (TMD) parton distributions are discussed. Recent results from the Fermilab E866 experiment on the angular distributions of Drell-Yan dimuons in $p+p$ and $p+d$ at 800 GeV/c are presented. These data are compared with the pion-induced Drell-Yan data, and with models which attribute the $\cos 2 \phi$ azimuthal distribution to the presence of the transverse-momentum-dependent Boer-Mulders structure function $h_1^\perp$. Constraints on the magnitude of the sea-quark $h_1^\perp$ structure functions are obtained. Future prospects for studying the TMDs with Drell-Yan experiments at Fermilab and J-PARC are also discussed.Comment: 10 pages, 3 figures, to appear in the Proceedings of "Transversity 2008" Worksho

On the lack of compactness on stratified Lie groups

In $\mathbb{R}^d$, the characterization of the \mbox{lack of compactness of the continuous Sobolev injection $\mathring{H}^s \hookrightarrow L^p$}, with $\displaystyle{\frac{s}{d} + \frac{1}{p} = \frac{1}{2}}$ and $\displaystyle{

Partonic substructure of nucleons and nuclei with dimuon production

Dimuon production has been studied in a series of fixed-target experiments at Fermilab during the last two decades. Highlights from these experiments, together with recent results from the Fermilab E866 experiment, are presented. Future prospects for studying the parton distributions in the nucleons and nuclei using dimuon production are also discussed.Comment: 6 pages. Contribution to the proceedings of "Achievements and New Directions in subatomic Physics: Workshop in Honour of Tony Thomas' 60th Birthday," Adelaide, South Australia, February 15-19, 2010