Off-shell pion electromagnetic form factor from a gauge-invariant Nambu-Jona-Lasinio model

Abstract

The off--shell electromagnetic vertex function of pions and kaons is studied in a bosonized Nambu--Jona-Lasinio model with a gauge--invariant proper--time cutoff. The slope of the pion form factor with respect to the pion 4--momentum is found to be equal to the on--shell pion charge radius in the chiral limit. The off--shell slope of the $K^0$ form factor is zero, that of the $K^{\pm }$ about 15\% smaller than that of the pion. We compare our results with those of a recent calculation in chiral perturbation theory.

(9 p., standard LaTeX, 1 PostScript figure appended) UNITUE-THEP-7/94

References in corpus (3)

• pi-pi scattering in a QCD based model field theory
• Diquark electromagnetic form factors in a Nambu-Jona-Lasinio model
• Gauge Invariance and the Electromagnetic Current of Composite Pions

Cited by in corpus (6)

• Nucleon mass and pion loops
• Compton Scattering by a Pion and off--Shell Effects
• Baryon structure in a quark-confining non-local NJL model
• Baryon form factors in a diquark-quark bound state description
• Pion off-shell electromagnetic form factors: data extraction and model analysis
• Off-shell pion properties: electromagnetic form factors and light-front wave functions