Pion Photoproduction Amplitude Relations in the 1/N_c Expansion

Details Pion Photoproduction Amplitude Relations in the 1/N_c Expansion Pion Photoproduction Amplitude Relations in the 1/N_c Expansion

2004-12-20

arxiv.org/abs/hep-ph/0412294v1

Phys.Rev. D71 (2005) 076010

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, ReVTeX, 50 eps files combine into 5 compound figures

Scientific paper

10.1103/PhysRevD.71.076010

We derive expressions for pion photoproduction amplitudes in the 1/N_c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/N_c compare favorably with available data, while the next-to-leading order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/N_c) or O(1/N_c^2) is impressive.

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