Instantons and Saturation in the Colour Dipole Picture

Acta Phys.Polon. B33 (2002) 3633-3638 We pursue the intriguing possibility that larger-size instantons build up diffractive scattering, with the marked instanton-size scale $ \approx 0.5$ fm being reflected in the conspicuous ``geometrization'' of soft QCD. As an explicit illustration, the...

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Hauptverfasser: Schrempp, F, Utermann, A
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Sprache:eng
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Zusammenfassung:Acta Phys.Polon. B33 (2002) 3633-3638 We pursue the intriguing possibility that larger-size instantons build up diffractive scattering, with the marked instanton-size scale $ \approx 0.5$ fm being reflected in the conspicuous ``geometrization'' of soft QCD. As an explicit illustration, the known instanton contribution to DIS is transformed into the intuitive colour dipole picture. With the help of lattice results, the $q \bar{q}$-dipole size r is carefully increased towards hadronic dimensions. Unlike pQCD, one now observes a competition between two crucial length scales: the dipole size r and the size $\rho$ of the background instanton that is sharply localized around $ \approx 0.5$ fm. For r exceeding $$, the dipole cross section indeed saturates towards a geometrical limit, proportional to the area $\pi ^2$, subtended by the instanton.
DOI:10.48550/arxiv.hep-ph/0207052