Low-energy dynamics of the $γγ\toππ$ reaction

Details Low-energy dynamics of the $γγ\toππ$ reaction Low-energy dynamics of the $γγ\toππ$ reaction

1996-02-26

arxiv.org/abs/hep-ph/9602394v1

Nucl.Phys. A604 (1996) 406-428

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages in LaTex, 3 figures in 1 Postscript file

Scientific paper

10.1016/0375-9474(96)00167-4

We calculate the one-quark-loop amplitude for the low energy $\gamma\gamma\to\pi\pi$ collision in the context of the Nambu and Jona-Lasinio model with scalar and pseudoscalar four quark couplings to all orders in the external momenta. We show that the NJL predictions for the $\gamma\gamma\to\pi^+\pi^-$ reaction are not far from the Born amplitude, which is close to the data, and is compatible with the chiral perturbation theory estimations. We determine the corrections given by the NJL model in leading order of $1/N_c$ to the chiral loop amplitude for $\gamma\gamma\to\pi^0\pi^0$. Numerical results for the $\gamma\gamma\rightarrow\pi\pi$ cross sections and for pion polarizabilities are given.

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