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A covariant wave equation for qq{} 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 ({π},{ρ}, and low lying excited states) and heavy quarks (ηc, J/{Ψ}, and low lying excited states) are presented and discussed.
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Gross et al. (1994) studied this question.
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