Abstract
We analyse an extended Nambu and Jona-Lasinio model in the context of the conventional RPA treatment and of a variational approximation which corresponds to the discretization of the continuum, allowing to describe mesonic resonances that are treated as compositeq\(\bar q\) systems. We study properties of pseudoscalar, scalar, vector and axial-vector excitations. The discretization technique simulates effects of confinement, replacing the exact continuum eigensolutions by a finite number of approximate normalizable eigensolutions.
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