Abstract
The Nambu–Jona-Lasinio model is applied to describe processes of electron-positron annihilation into mesons at center-of-mass energies below 2GeV and hadronic decays of tau leptons. Contributions of intermediate scalar, vector, and axial-vector mesons in the ground and first radial excited states are taken into account. Comparisons with existing experimental data are performed. Theoretical predictions for several(not yet measured)processes are presented.
Highlights
The Nambu–Jona-Lasinio (NJL) model [1] is known to be very successful in description of the spectrum and low-energy interactions of light mesons, see, e.g., reviews [2, 3] and references therein
The model is rather simple, it is based on the idea of spontaneous breaking of the chiral symmetry
Since the tau lepton mass is about 1.777 GeV, including of the first radial excited states of mesons is crucial for getting a good theoretical description of hadronic τ decay modes
Summary
The Nambu–Jona-Lasinio (NJL) model [1] is known to be very successful in description of the spectrum and low-energy interactions of light mesons, see, e.g., reviews [2, 3] and references therein. We will consider the extension of the NJL model which allows to include the first radial excited states of four light meson nonets (scalar, pseudoscalar, vector and axial-vector ones). This extended NJL model was introduced in refs. The energy domain below about 2 GeV, where the dynamics of the first radial meson states is very important, was studied This energy range is beyond the domain of the standard NJL model applicability. The main features of the extended model will be described and a few examples of its application will be given
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