Role of resonances in rho^0 -> pi^+ pi^- gamma

Details Role of resonances in rho^0 -> pi^+ pi^- gamma Role of resonances in rho^0 -> pi^+ pi^- gamma

2007-06-14

arxiv.org/abs/0706.2205v1

Phys.Rev.D76:033001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 5 figures, accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.76.033001

We study the effect of the sigma(600) and a_1(1260) resonances in the rho^0 -> pi^+ pi^- gamma decay, within the meson dominance model. Major effects are driven by the mass and width parameters of the sigma(600), and the usually neglected contribution of the a_1(1260), although small by itself, may become sizable through its interference with pion bremsstrahlung, and the proper relative sign can favor the central value of the experimental branching ratio. We present a procedure, using the gauge invariant structure of the resonant amplitudes, to kinematically enhance the resonant effects in the angular and energy distribution of the photon. We also elaborate on the coupling constants involved.

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