Meson properties in the 1/N(c) corrected NJL model

Jan, 2000
26 pages
Published in:
  • Nucl.Phys.A 676 (2000) 247-272
e-Print:

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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.
  • 11.15.Pg
  • 14.40.-n
  • Meson properties
  • 1/ N c -expansion
  • 1/ Nc-expansion
  • meson: model
  • Jona-Lasinio-Nambu model: correction
  • expansion 1/N: color
  • Feynman graph: higher-order
  • symmetry: chiral