NJL interaction derived from QCD: vector and axial-vector mesons

In previous works effective non-local \(SU(2)\times SU(2)\) NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass \(m_0\) and average non-perturbative \(\alpha_s\). The results for scalar and pseudo-scalar mesons are in satisfactory agreement to existing data. In the present work the same model without introduction of any additional parameters is applied for a description of masses and strong decay widths of \(\rho\)- and \(a_1\)-mesons. The results for both scalar and vector sectors agree with data with only one adjusted parameter \(m_0\), with account of average \(\alpha_s \simeq 0.415\), which is obtained in a previous work as well.