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DOE OSTI · 22612690

The nonsinglet spin-dependent structure function evolution by Laplace and characteristics methods

Zarrin, S.·Dadfar, S.
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Abstract

We evaluate the non-singlet spin-dependent structure function g{sub 1}{sup NS} 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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74 ATOMIC AND MOLECULAR PHYSICSACCELERATORSCALCULATION METHODSCOMPARATIVE EVALUATIONSLAPLACE TRANSFORMATIONMATHEMATICAL SOLUTIONSSPINSTRUCTURE FUNCTIONS

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Zarrin, S., Dadfar, S.. 2016-03-15. The nonsinglet spin-dependent structure function evolution by Laplace and characteristics methods. https://doi.org/10.1134/s1063778816020034

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