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Electromagnetic form factors of the \(\Delta(1232)\) excitation

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Abstract.

In the resonance region we have precisely determined the electromagnetic properties of the \(\Delta(1232)\)-resonance, in particular the E2/M1 ratio \(R_{EM}=(-2.5 \pm 0.1) \%\). For pion electroproduction recent experimental data from Mainz, Bates, Bonn and JLab for Q2 up to 4.0 (GeV/c)2 have been analyzed with the isobar model MAID. The extracted E2/M1 ratio shows, starting from a small and negative value at the real photon point, a clear tendency to cross zero, and becomes positive with increasing Q2. This is a possible indication of a very slow approach toward the pQCD region. The C2/M1 ratio near the photon point is found as \(R_{SM}(0)=(-6.5 \pm 0.5) \%\). At high Q2, the absolute value of the ratio is strongly increasing, a further indication that pQCD is not yet reached. The electromagnetic-transition form factors of the \(\Delta(1232)\) excitation are parameterized and fitted to the electroproduction data. This also shows a zero-crossing of the electric form factor G E * at \(Q^2=3.6\pm 0.5\) (GeV/c)2.

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Correspondence to L. Tiator.

Additional information

Received: 1 November 2002, Published online: 15 July 2003

PACS:

13.40.Gp Electromagnetic form factors - 13.60.Le Meson production - 14.20.Gk Baryon resonances with S=0 - 25.20.Lj Photoproduction reactions

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Tiator, L., Drechsel, D., Kamalov, S. et al. Electromagnetic form factors of the \(\Delta(1232)\) excitation. Eur. Phys. J. A 17, 357–363 (2003). https://doi.org/10.1140/epja/i2002-10177-6

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