
We construct a chiral Lagrangian containing besides the usual pion field (pi) also its first radial excitation (pi'). The Lagrangian is derived by bosonization of a Nambu--Jona-Lasinio quark model with separable non-local interactions, with form factors corresponding to 3-dimensional ground and excited state wave functions. Chiral symmetry breaking is governed by the NJL gap equation. The effective Lagrangian for pi- and pi'-mesons shows the decoupling of the Goldstone pion and the vanishing of the pi' leptonic decay constant, f_pi', in the chiral limit, as required by axial current conservation. We derive the excited states' contribution to the axial current of the model using Noether's theorem. For finite pion mass and pi' masses in the range of 750 MeV -- 1300 MeV, f_pi' / f_pi is found to be of the order of 1 percent.
19 pages, LaTeX, 3 Postscript figures included using epsf
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 82 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
