PI-GLUON EXCHANGE INTERACTION BETWEEN CONSTITUENT QUARKS

The interaction mediated by irreducible pion and gluon exchange betwee n constituent quarks is calculated and shown to have a strong tensor c omponent, which tends to cancel the pion exchange tensor interaction b etween quarks. Its spin-spin component is somewhat weaker than the pio n exchange spin-spin interaction, while its central and spin-orbit com ponents are small in comparison to the corresponding single gluon exch ange interactions. The combination of the rr-gluon exchange interactio n with the single pion exchange interaction and a weak gluon exchange interaction between constituent quarks has the qualitative features re quired for understanding the hyperfine splittings of the spectra of th e nucleon and the Delta resonances. [S0556-2813(98)04711-6].