Abstract
We evaluate the non-singlet spin-dependent structure function g NS1 at leading order (LO) and next-to-leading order (NLO) by using the Laplace-transform technique and method of characteristics and also obtain its first moment at NLO. The polarized non-singlet structure function results are compared with the data from HERMES (A. Airapetian et al., Phys. Rev. D 75, 012007 (2007)) and E143 (K. Abe et al. (E143 Collab.), Phys. Rev. D 58, 112003 (1998)) at LO and NLO analyses and the first-moment the result at NLO is compared with the result of the NLO GRSV2000 fit. Considering the solution, this method is valid at low- and large-x regions.
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Boroun, G.R., Zarrin, S. & Dadfar, S. The nonsinglet spin-dependent structure function evolution by Laplace and characteristics methods. Phys. Atom. Nuclei 79, 236–242 (2016). https://doi.org/10.1134/S1063778816020034
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DOI: https://doi.org/10.1134/S1063778816020034