Abstract
An analytical solution of the non-singlet polarized parton distribution Δq NS(x,Q 2) = (Δu(x,Q 2) − Δd(x,Q 2)) is obtained by solving the DGLAP (Gribov and Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); Lipatov, ibid, 20, 94 (1975); Dokshitzer, Sov. Phys. JETP 46, 641 (1997); Altarelli and Parisi, Nucl. Phys. B126, 298 (1977)) equation by the method of characteristics. We then evaluate the non-singlet spin-dependent structure function \(g_1^{\rm NS}\). The result is compared with the data from HERMES (Airapetian et al, Phys. Rev. D75, 012007 (2007)).
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References
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BORAH, N.N.K., CHOUDHURY, D.K. & SAHARIAH, P.K. Non-singlet spin structure function \(g_{1}^{\rm NS}(x,t)\) in the DGLAP approach. Pramana - J Phys 79, 833–837 (2012). https://doi.org/10.1007/s12043-012-0380-8
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DOI: https://doi.org/10.1007/s12043-012-0380-8