Abstract
We study the beam single-spin asymmetries \(A_{\mathrm{LU}}^{\sin \phi _h}\) for charged hadrons produced in semi-inclusive deep-inelastic scattering processes, by considering the \(e H_1^\perp \) term and the \(g^\perp D_1\) term simultaneously. Besides the asymmetries for charged pions, for the first time we present the analysis on the asymmetries in the production of charged kaons, protons, and antiprotons by longitudinally polarized leptons scattered off unpolarized proton and deuteron targets. In our calculation we use two sets of transverse momentum dependent distributions \(g^\perp (x,\varvec{k}_T^2)\) and \(e(x,\varvec{k}_T^2)\) calculated from two different spectator models, and we compare the numerical results with the preliminary data recently obtained by the HERMES Collaboration. We also predict the beam spin asymmetries for \(\pi ^\pm \), \(K^\pm \), \(p/\bar{p}\) electroproduction in semi-inclusive deep-inelastic scattering of 12 GeV polarized electrons from unpolarized proton and deuteron targets.
Highlights
The fragmentation function (FF) E [25,30]
In our calculation we employed the contributions from the eH1⊥ term and the g⊥ D1 term, and we used two sets of transverse momentum dependent (TMD) distribution function (DF) calculated from two different spectator models
We find that for pion production, two sets of TMD DFs lead to rather different results, the roles of the eH1⊥ term and the g⊥ D1 term are different in different Sets
Summary
The FF E [25,30]. Apart from the above two mechanisms, a new source giving rise to the beam SSA at the twist-. We considered two options for the propagator of the axial-vector diquark, as well as two different relations between quark flavors and diquark types, to obtain two sets of TMD DFs. Using the model results, we estimated the beam SSAs for neutral and charged pions at HERMES and CLAS, by considering the eH1⊥ term and g⊥ D1 term simultaneously. The preliminary data shows that the beam SSAs for the charged pions off the proton target are slightly positive, which are consistent with our theoretical results [42] calculated from the TMD DFs in Set 1. 3, we use two sets of TMD DFs resulted from two different spectator models to calculate the beam SSAs for charged hadrons at the new kinematic region of HERMES.
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