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Physical Review D
Article
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Physical Review D
Article . 1997 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1996
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Chiral Lagrangian for excited pions

Authors: Volkov, M. K.; Weiss, C.;

Chiral Lagrangian for excited pions

Abstract

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

Keywords

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
82
Top 10%
Top 10%
Top 10%
Green
bronze