Abstract

We present the unique properties of oscillatory modes of N-fl = 3 light quarks u, d, s using the SU(2N(fl) = 6) x SO3((L) over right arrow) broken symmetry classification. (L) over right arrow = Sigma(Nfl)(n=1) (L) over right arrow (n) stands for the space rotation group generated by the sum of the three individual angular momenta of quarks in their c.m. system. The baryonic multiplets are shown to emerge from the picture of oscillating quarks in three space dimensions in the center of-mass system of the baryons. All oscillatory modes are fully relativistic with a finite number of oscillators and this is forming the unique harmonic oscillator with these properties. The density of states as a function of mass-square is calculated. This estimate is of relevance for the accounting of the missing states of unobserved hadrons, as the here estimated baryonic multiplets include both the observed and the unobserved (or "missing") hadrons. The estimate is conceptually different from Hagedorn's model and is based on field theory of QCD.