期刊
PHYSICAL REVIEW D
卷 105, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.054504
关键词
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资金
- DFG (Deutsche Forschungsge-meinschaft) through the collaborative research center [SFB/TRR-55]
- DFG (Deutsche Forschungsge-meinschaft) [FOR 2926]
- European Union [813942, 824093]
- BMBF (German Federal Ministry of Education and Research) [05P15SJFAA]
- DFG Research Training Group [GRK1523]
- German Federal Ministry of Education and Research (BMBF)
- German State Ministry for Research of Baden-Wurttemberg (MWK)
- German State Ministry for Bayern (StMWFK)
- German State Ministry for Nordrhein-Westfalen (MIWF)
- DFG
- Marie Curie Actions (MSCA) [813942] Funding Source: Marie Curie Actions (MSCA)
Using lattice QCD, the twist-2 and twist-3 contributions to the third Mellin moment of the spin structure functions in the nucleon are calculated. The obtained results provide information on the size and nature of these contributions. These findings are important for understanding the spin structure and properties of the nucleon.
Using lattice QCD, we calculate the twist-2 contribution a(2) to the third Mellin moment of the spin structure functions g(1) and g(2) in the nucleon. In addition we evaluate the twist-3 contribution d(2). Our computations make use of N-f = 2 + 1 gauge field ensembles generated by the Coordinated Lattice Simulations effort. Neglecting quark-line disconnected contributions we obtain as our best estimates a(2)((p)) = 0.069(17), d(2)((p)) = 0.0105(68) and a(2)((n)) = 0.0068(88), d(2)((n)) = -0.0009(70) for the proton and the neutron, respectively, where we use the normalizations given in Eqs. (58) and (59). While the a(2) results have been converted to the (MS) over bar scheme using three-loop perturbation theory, the numbers for d(2) are given in the regularization independent momentum subtraction scheme, i.e., the conversion has been performed only in tree-level perturbation theory. The d(2) results can be interpreted as corresponding to a transverse color Lorentz force on a quark in a transversely polarized proton of size F-(u) = 116(61) and F-(d) = -38(66) MeV/fm for u and d quarks, respectively. The error estimates quoted include statistical and systematic uncertainties added in quadrature.
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