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Analysis of DIS structure functions of the nucleon within truncated Mellin moments approach

Dorota Kotlorz

http://orcid.org/0000-0002-4755-2924

Institute of Mathematics and Physics, Opole University of Technology, Prószkowska 76, 45-758 Opole, Poland

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

E-mail Address: d.strozik-kotlorz@po.opole.pl

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and

Andrzej Kotlorz

Opole University of Technology, Institute of Mathematics and Physics, Prószkowska 76, 45-758 Opole, Poland

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https://doi.org/10.1142/S0217751X16501815Cited by:7 (Source: Crossref)

Abstract

We present generalized evolution equations and factorization in terms of the truncated Mellin moments (TMM) of the parton distributions and structure functions. We illustrate the x and Q² dependence of TMM in the polarized case. Using the TMM approach we compare the integrals of g₁ with HERMES and COMPASS data from the limited x-ranges.

Keywords:

PACS: 12.38.Bx, 11.55.Hx

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