Abstract
Transverse-momentum dependent parton distribution functions (TMDs) provide a description of nucleon structure in terms of the parton transverse momentum and its transverse spin. At leading twist there are eight TMDs, each offering a unique feature of quarks in a polarized or an unpolarized nucleon. The Sivers distribution is one of the most interesting TMD due to its non-universality. It has been extracted using the data from semi-inclusive deep-inelastic scattering (SIDIS), but there is no data yet from spin-dependent Drell-Yan (DY) process. Such measurement will provide a crucial test of TMD formalism which predicts an equal magnitude and opposite sign for the Sivers function extracted from SIDIS and DY process. We will discuss key future measurements of TMDs using both SIDIS and DY process with a focus on Hall A SoLID SIDIS program at Jefferson Lab.
Highlights
One of the major goals in the investigation of the nucleon spin structure is the extraction of transverse momentum dependent parton distribution functions (TMDs) using the data obtained from lepton-lepton and hadron-hadron scattering
The combined analysis of the data from these measurements will help in extracting various TMDs for both u and d-quarks
The high precision data in the wide kinematic range will allow us to study the systematic uncertainties in the extraction of TMDs
Summary
One of the major goals in the investigation of the nucleon spin structure is the extraction of transverse momentum dependent parton distribution functions (TMDs) using the data obtained from lepton-lepton and hadron-hadron scattering. The Sivers function (f1⊥T )[4] provides the number density of unpolarized partons inside a transversely polarized proton, and it requires wave function components with nonzero orbital angular momentum and provides information about the correlation between the quark orbital angular momentum (OAM) and nucleon spin It is a (naive) T-odd function which relies on the final state interactions (FSI) experienced by the active quark in a SIDIS process. There are plans to measure the Collins and Sivers moments using transversely polarized proton target,[17] and SSAs in di-hadron production which are sensitive to the transversity distribution.[18] The Hall C SIDIS experiments will use the High Momentum Spectrometer (HMS) and the Super-HMS (SHMS). SIDIS with longitudinally polarized beam on a longitudinally polarized target will provide ALL and AUL data which will be used to extract g1L and h⊥1L, respectively
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