# Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data

## Abstract

Deep-inelastic-scattering data from fixed-target experiments on the structure function F{sub 2} were analyzed in the valence-quark approximation at the next-to-next-to-leading-order accuracy level in the strong-coupling constant. In this analysis, parton distributions were parametrized by employing information from the Gottfried sum rule. The strong-coupling constant was found to be α{sub s}(M{sup 2}{sub Z}) = 0.1180 ± 0.0020 (total expt. error), which is in perfect agreement with the world-averaged value from an updated Particle Data Group (PDG) report, α{sup PDG}{sub s} (M{sup 2}{sub Z}) = 0.1181 ± 0.0011. Also, the value of 〈x〉{sub u−d} = 0.187 ± 0.021 found for the second moment of the difference in the u- and d-quark distributions complies very well with the most recent lattice result 〈x〉{sup LATTICE}{sub u−d} = 0.208 ± 0.024.

- Authors:

- Joint Institute for Nuclear Research (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22761740

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Atomic Nuclei

- Additional Journal Information:
- Journal Volume: 81; Journal Issue: 2; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING CONSTANTS; D QUARKS; DEEP INELASTIC SCATTERING; DISTRIBUTION; GLUONS; QUANTUM CHROMODYNAMICS; STRONG-COUPLING MODEL; STRUCTURE FUNCTIONS; SUM RULES

### Citation Formats

```
Kotikov, A. V., E-mail: kotikov@theor.jinr.ru, Krivokhizhin, V. G., and Shaikhatdenov, B. G..
```*Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data*. United States: N. p., 2018.
Web. doi:10.1134/S1063778818020126.

```
Kotikov, A. V., E-mail: kotikov@theor.jinr.ru, Krivokhizhin, V. G., & Shaikhatdenov, B. G..
```*Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data*. United States. doi:10.1134/S1063778818020126.

```
Kotikov, A. V., E-mail: kotikov@theor.jinr.ru, Krivokhizhin, V. G., and Shaikhatdenov, B. G.. Thu .
"Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data". United States. doi:10.1134/S1063778818020126.
```

```
@article{osti_22761740,
```

title = {Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data},

author = {Kotikov, A. V., E-mail: kotikov@theor.jinr.ru and Krivokhizhin, V. G. and Shaikhatdenov, B. G.},

abstractNote = {Deep-inelastic-scattering data from fixed-target experiments on the structure function F{sub 2} were analyzed in the valence-quark approximation at the next-to-next-to-leading-order accuracy level in the strong-coupling constant. In this analysis, parton distributions were parametrized by employing information from the Gottfried sum rule. The strong-coupling constant was found to be α{sub s}(M{sup 2}{sub Z}) = 0.1180 ± 0.0020 (total expt. error), which is in perfect agreement with the world-averaged value from an updated Particle Data Group (PDG) report, α{sup PDG}{sub s} (M{sup 2}{sub Z}) = 0.1181 ± 0.0011. Also, the value of 〈x〉{sub u−d} = 0.187 ± 0.021 found for the second moment of the difference in the u- and d-quark distributions complies very well with the most recent lattice result 〈x〉{sup LATTICE}{sub u−d} = 0.208 ± 0.024.},

doi = {10.1134/S1063778818020126},

journal = {Physics of Atomic Nuclei},

issn = {1063-7788},

number = 2,

volume = 81,

place = {United States},

year = {2018},

month = {3}

}