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- Title
Counting of oscillatory modes of valence quarks forming qqq baryons for three quark flavors u, d, s.
- Authors
Kabana, Sonia; Minkowski, Peter
- Abstract
We present the unique properties of oscillatory modes of light quarks - , , - using the broken symmetry classification. 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.
- Subjects
VALENCE quark; BARYONS; FLAVOR in particle physics; HARMONIC oscillators; ANGULAR momentum (Nuclear physics)
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2017, Vol 32, Issue 4, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X1750004X