Abstract

A covariant wave equation for qq\ifmmode\bar\else\textasciimacron\fi{} interactions with an interaction kernel composed of the sum of constant vector and linear scalar confining interactions is solved for states with two quarks with identical mass. The model includes a Nambu--Jona-Lasinio--like mechanism which links the dynamical breaking of chiral symmetry to the spontaneous generation of quark mass and the appearance of a low mass Goldstone pion. A novel feature of this approach is that it automatically explains the small mass of the pion even though the linear potential is a scalar interaction in Dirac space, and hence breaks chiral symmetry. Solutions for mesons composed of light quarks (\ensuremath{\pi},\ensuremath{\rho}, and low lying excited states) and heavy quarks (${\mathrm{\ensuremath{\eta}}}_{\mathit{c}}$, J/\ensuremath{\Psi}, and low lying excited states) are presented and discussed.

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