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

Abstract

We study the beam spin asymmetry $A_{LU}^{\sin {\varphi }_h}$ in semi-inclusive ${\pi }^0$ electroproduction contributed by the T-odd twist-3 distribution function $g^{\perp }(x,k_T^2)$. 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 $A_{LU}^{\sin {\varphi }_h}$ in the $ep\to e^{\prime }{\pi }^{0}X$ process in which the lepton beam is longitudinally polarized. The model prediction is compared with the data measured by the CLAS and the HERMES Collaborations and it is found that our numerical results agree with 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 $A_{LU}^{\sin {\varphi }_h}$ in a ${\pi }^0$ electroproduction at CLAS12 using the same model calculation.

9 pages, 6 figures, match the published version

References in corpus (14)

• Relations between generalized and transverse momentum dependent parton distributions
• Transverse-momentum distributions in a diquark spectator model
• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Generalized parton correlation functions for a spin-0 hadron
• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Measurement of Single and Double Spin Asymmetries in Deep Inelastic Pion Electroproduction with a Longitudinally Polarized Target
• Collins fragmentation function for pions and kaons in a spectator model
• Partonic Pole Matrix Elements for Fragmentation
• Collins effect in semi-inclusive deeply inelastic scattering and in electron positron annihilation
• Spectral analysis of gluonic pole matrix elements for fragmentation
• Light-cone divergence in twist-3 correlation functions
• A model independent analysis of gluonic pole matrix elements and universality of TMD fragmentation functions

Cited by in corpus (13)

• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Beam-spin asymmetries from semi-inclusive pion electroproduction
• Transverse single-spin asymmetries of pion production in semi-inclusive DIS at subleading twist
• Twist-3 T-odd fragmentation functions $G^{\perp }$ and ${\tilde{G}}^{\perp }$ in a spectator model
• Beam-helicity asymmetries for single-hadron production in semi-inclusive deep-inelastic scattering from unpolarized hydrogen and deuterium targets
• Semi-Inclusive ${\pi }_0$ target and beam-target asymmetries from 6 GeV electron scattering with CLAS
• Double Spin Asymmetries $A_{LT}^{\cos {\varphi }_S}$ and $A_{LT}^{\cos (2{\varphi }_h-{\varphi }_S)}$ in semi-inclusive DIS
• Single-spin asymmetries in electroproduction of pions on the longitudinally polarized nucleon targets
• Spin Orbit Correlations and the Structure of the Nucleon
• SIDIS-RC EvGen: a Monte-Carlo event generator of semi-inclusive deep inelastic scattering with the lowest-order QED radiative corrections
• On the beam spin asymmetries of electroproduction of charged hadrons off the nucleon targets
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model