Shape of the $f_0(980)$ in $γγ\toπ^+π^-$

Details Shape of the $f_0(980)$ in $γγ\toπ^+π^-$ Shape of the $f_0(980)$ in $γγ\toπ^+π^-$

2005-06-06

arxiv.org/abs/hep-ph/0506046v2

Phys.Rev.D72:013006,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 6 figures, published version

Scientific paper

10.1103/PhysRevD.72.013006

The Belle Collaboration results on the observation of the $f_0(980)$ resonance in the reaction $\gamma\gamma\to\pi^+\pi^-$ are analyzed. It is argued that they point to the presence of mechanisms which give rise to a strong distortion of the $f_0(980)$ resonance shape in comparison with the shape of a solitary Breit-Wigner resonance. It is shown that the main factors responsible for the formation of the specific, steplike, shape of the $f_0(980)$ resonance in the $\gamma\gamma\to\pi^+\pi^-$ reaction cross section are the $K^+K^-$ loop mechanism of the $f_0(980)$ coupling to the $\gamma\gamma$ system and the destructive interference between the background and $f_0(980)$ resonance contributions in the $\pi^+\pi^-$ invariant mass region below the $K^+K^-$ threshold.

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