Two photon decays of scalar mesons in the quark NJL model

Details Two photon decays of scalar mesons in the quark NJL model Two photon decays of scalar mesons in the quark NJL model

2008-09-10

arxiv.org/abs/0809.1795v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 1 figure

Scientific paper

Two photon decays of scalar mesons f_0(980), a_0(980), \sigma(600) in the quark Nambu - Jona - Lasinio (NJL) model are calculated. The contributions of the meson loops are taken into account along with the quark loops (Hartree - Fock approximation). This corresponds to the next order of the 1/N_c expansion, where N_c=3 is the number of quark colors. It is shown that the meson and quark loops give comparable contributions to the amplitude. Moreover, in the process f_0(980)-> \gamma \gamma the kaon loop plays the dominant role. A similar situation takes place in the decay \phi -> f_0(980) \gamma \cite{physrev}. Our results are in satisfactory agreement with the recent experimental data.

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