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

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778816020034· OSTI ID:22612690

Zarrin, S.; Dadfar, S. ^[1]

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1. University of Sistan and Baluchestan, Physics Department (Iran, Islamic Republic of)

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.

• OSTI ID: 22612690
• Journal Information: Physics of Atomic Nuclei, Vol. 79, Issue 2; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ACCELERATORS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
LAPLACE TRANSFORMATION
MATHEMATICAL SOLUTIONS
SPIN
STRUCTURE FUNCTIONS