English

Meson Properties in the 1/N_c-corrected NJL model

High Energy Physics - Phenomenology 2009-10-31 v1 Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0001239,
  title  = {Meson Properties in the 1/N_c-corrected NJL model},
  author = {M. Oertel and M. Buballa and J. Wambach},
  journal= {arXiv preprint arXiv:hep-ph/0001239},
  year   = {2009}
}

Comments

26 pages, 11 figures included