Meson Properties in the 1/N_c-corrected NJL model

Details Meson Properties in the 1/N_c-corrected NJL model Meson Properties in the 1/N_c-corrected NJL model

2000-01-24

arxiv.org/abs/hep-ph/0001239v1

Nucl.Phys. A676 (2000) 247-272

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 11 figures included

Scientific paper

10.1016/S0375-9474(00)00198-6

Properties of mesons are investigated within the Nambu--Jona-Lasinio model. We include meson-loop corrections, which are generated via a systematic 1/N_c-expansion in next-to-leading order. We show that our scheme is consistent with chiral symmetry, in particular with the Goldstone theorem and the Gell-Mann Oakes Renner relation. The numerical part focuses on the pion and the rho-meson sector. For the latter the 1/N_c-corrections are crucial in order to include the dominant rho -> pi pi-decay channel, while the leading-order approximation only contains unphysical q\bar q-decay channels. We show that a satisfactory description of the pion electromagnetic form factor can be obtained. Similarities and differences to hadronic models are discussed.

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