Abstract
Using a Bethe—Salpeter approach to gluon exchange and confining h.o. interactions in q q and qqq systems, an FKR-like differential equation is derived for both in a Wick-rotated four-dimensional space, yielding an exact spectrum for mesons and a very similar one for baryons. The Coulomb term exhibits a 20% effect on the low-lying energy levels and gives rise to a more consistent determination of the h.o. spring constant at the standard value 1 GeV 2 than otherwise.
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