Double transverse spin asymmetry in the $p^\uparrow\bar{p}^\uparrow$ Drell-Yan process from Sivers functions

Details Double transverse spin asymmetry in the $p^\uparrow\bar{p}^\uparrow$ Drell-Yan process from Sivers functions Double transverse spin asymmetry in the $p^\uparrow\bar{p}^\uparrow$ Drell-Yan process from Sivers functions

2007-04-18

arxiv.org/abs/0704.2292v1

Phys.Rev.D75:094012,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 latex pages, 2 figures, to appear in PRD

Scientific paper

10.1103/PhysRevD.75.094012

We show that the transverse double spin asymmetry (DSA) in the Drell-Yan process contributed only from the Sivers functions can be picked out by the weighting function $\frac{Q_T}{M^2}(\cos(\phi-\phi_{S_1})\cos(\phi-\phi_{S_2})+3\sin(\phi-\phi_{S_1})\sin(\phi-\phi_{S_2}))$. The asymmetry is proportional to the product of two Sivers functions from each hadron $f_{1T}^{\perp(1)}\times f_{1T}^{\perp (1)}$. Using two sets of Sivers functions extracted from the semi-inclusive deeply elastic scattering data at HERMES, we estimate this asymmetry in the $p^\uparrow\bar{p}^\uparrow$ Drell-Yan process which is possible to be performed in HESR at GSI. The prediction of DSA in the Drell-Yan process contributed by the function $g_{1T}(x,\Vec k_T^2)$, which can be extracted by the weighting function $\frac{Q_T}{M^2}(3\cos(\phi-\phi_{S_1})\cos(\phi-\phi_{S_2})+\sin(\phi-\phi_{S_1})\sin(\phi-\phi_{S_2}))$, is also given at GSI.

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