Meson properties in the 1/N-c-corrected NJL model

Citation
M. Oertel et al., Meson properties in the 1/N-c-corrected NJL model, NUCL PHYS A, 676, 2000, pp. 247-272
Citations number
38
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS A
ISSN journal
03759474 → ACNP
Volume
676
Year of publication
2000
Pages
247 - 272
Database
ISI
SICI code
0375-9474(20000828)676:<247:MPIT1N>2.0.ZU;2-W
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 consisten t with chiral symmetry, in particular with the Goldstone theorem and the Ge ll-Mann-Oakes-Renner relation. The numerical part focuses on the pion and t he rho-meson sector. For the latter the 1/N-c-corrections are crucial in or der to include the dominant rho --> pi pi-decay channel, while the leading- order approximation only contains unphysical q (q) over bar-decay channels. We show that a satisfactory description of the pion electromagnetic form f actor can be obtained. Similarities and differences to hadronic models are discussed. (C) 2000 Elsevier Science B.V. All rights reserved.