Abstract
There are two mechanisms for the generation of an asymmetry between the strange and anti-strange quark distributions in the nucleon: nonperturbative contributions originating from nucleons fluctuating into virtual baryon–meson pairs such as ΛK and ΣK, and perturbative contributions arising from gluons splitting into strange and anti-strange quark pairs. While the nonperturbative contributions are dominant in the large-x region, the perturbative contributions are more significant in the small-x region. We calculate this asymmetry taking into account both nonperturbative and perturbative contributions, thus giving a more accurate evaluation of this asymmetry over the whole domain of x. We find that the perturbative contributions are generally a few times larger in magnitude than the nonperturbative contributions, which suggests that the best region to detect this asymmetry experimentally is in the region 0.02<x<0.03. We find that the asymmetry may have more than one node, which is an effect that should be taken into account, e.g. for parameterizations of the strange and anti-strange quark distributions used in global analysis of parton distributions.
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Acknowledgements
F.-G. thanks D. Sutherland for discussion on the Mellin transformation. G.-Q. Feng is very grateful to Professor B.-S. Zou for valuable discussions. This work is supported by the National Natural Science Foundation of China (Project Nos. 11035006, 10675022, 10975018, and 11175020), the Chinese Academy of Sciences (Project No. KJCX2-EW-N01), and the Fundamental Research Funds for the Central Universities in China.
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Feng, GQ., Cao, FG., Guo, XH. et al. Perturbative and nonperturbative contributions to the strange quark asymmetry in the nucleon. Eur. Phys. J. C 72, 2250 (2012). https://doi.org/10.1140/epjc/s10052-012-2250-4
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DOI: https://doi.org/10.1140/epjc/s10052-012-2250-4