Abstract
The U(3)×U(3) chiral symmetric NJL model describing pseudoscalar, vector, and axial-vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to describe a large number of low-energy interactions of mesons, τ lepton decays into mesons, and processes of meson production in electron–positron annihilations in satisfactory agreement with the experiments. In describing a number of processes, it turned out to be necessary to take into account the interactions of mesons in the final state.
Highlights
Studies of meson interactions at low energies are of great interest for investigations of both the nature of the intrinsic properties and their interaction with each other
As a rule, various phenomenological theories are applied here. These theories are based on the use of characteristic symmetries to which the corresponding interactions of elementary particles conform
As it has been mentioned above, due to the fact that the cut-off parameter is close to the masses of the first radially excited meson states, it turns out possible to include these states to the U(3) × U(3) chiral symmetric NJL model
Summary
Studies of meson interactions at low energies are of great interest for investigations of both the nature of the intrinsic properties and their interaction with each other. When calculating quark loops in our model, we will use the lowest order in the expansion of 1/Nc, and take into account only terms with minimum powers in external momenta Under this condition, is it possible to maintain the chiral-symmetric structure of the meson interaction Lagrangian at low energies [16]. Note that while using the value gρ = 6.0, this cut-off parameter has turned out to be noticeable more than in other versions of the NJL model [18,19] As it will be shown below this allow to include the first radially excited meson states within the U(3) × U(3) chiral symmetric extended NJL model (see Section 3).
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