Systematics of $$L = 0q^2 \bar q^2 $$ systems

Using the interquark potential due to Bhaduri et al., the energies of all\(L = 0q^2 \bar q^2 \) systems are calculated for any value of the total spinS and for any value of the physical flavors:u, d, s, c, b. A harmonic oscillator basis up to 8 quanta is used to solve the four-body problem within a non-relativistic quark model. The corresponding energies are compared to the meson-meson threshold energies in order to search for stable multiquarks some of them are proposed.