Nucleon spin structure at low momentum transfers

Abstract

The generalized Gerasimov-Drell-Hearn (GDH) sum rule is known to be very sensitive to QCD radiative and power corrections. We improve the previously developed QCD-inspired model for the $Q^2$-dependence of the GDH sum rule. We take into account higher order radiative and higher twist power corrections extracted from precise Jefferson Lab data on the lowest moment of the spin-dependent proton structure function ${\Gamma }_1^p(Q^2)$ and on the Bjorken sum rule ${\Gamma }_1^{p-n}(Q^2)$. By using the singularity-free analytic perturbation theory we demonstrate that the matching point between chiral-like positive-$Q^2$ expansion and QCD operator product $1/Q^2$-expansion for the nucleon spin sum rules can be shifted down to rather low $Q\simeq {\Lambda }_{QCD}$ leading to a good description of recent proton, neutron, deuteron and Bjorken sum rule data at all accessible $Q^2$.

12 pages, 6 figures

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Cited by in corpus (23)

• The Spin Structure of the Nucleon
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Four-loop QCD analysis of the Bjorken sum rule vs data
• Analogs of noninteger powers in general analytic QCD
• Precise Determination of the Deuteron Spin Structure at Low to Moderate $Q^2$ with CLAS and Extraction of the Neutron Contribution
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• "Massive" Perturbative QCD, regular in the IR limit
• Measurement of the Q^2 Dependence of the Deuteron Spin Structure Function g_1 and its Moments at Low Q^2 with CLAS
• Hadronic vacuum polarization function within dispersive approach to QCD
• Renormalon-motivated evaluation of QCD observables
• Electron-positron annihilation into hadrons at the higher-loop levels
• Measurement of the proton spin structure at long distances
• Measurement of the 3He Spin-Structure Functions and of Neutron (3He) Spin-Dependent Sum Rules at 0.035<Q^2<0.24 GeV^2
• Lattice-motivated holomorphic nearly perturbative QCD
• Optimized determination of the polarized Bjorken sum rule in pQCD
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Experimental studies at low $Q^2$ of the spin structure of the nucleon at Jefferson Lab