oscillatory modes of quarks in baryons for 3 quark flavors u,d,s

Abstract

The present notes prepare the countin of ’oscillatory modes of N fl = 3 light quarks’, – u, d, s –, using the SU (2 N fl = 6) × SO3 (L→)${\rm{SU}}\,\left( {2\,N{\,_{fl}}\, = \,6} \right)\, \times \,{\rm{SO3}}\,\left( {\overrightarrow L } \right)$ broken symmetry classification, extended to the harmonic oscillator symmetry of 3 paired oscillator modes. L→ = ∑n  =  1N flL→n $\overrightarrow L \, = \,\sum\nolimits_{n\,\, = \,\,1}^{N{\,_{fl}}} {{{\overrightarrow L }_n}} \,$ stands for the space rotation group generated by the sum of the 3 individual angular momenta of quarks in their c.m. system . The motivation arises from modeling the yields of hadrons in heavy ion collisions at RHIC and LHC, necessitating at the respective highest c.m. energies per nucleon pairs an increase of heavy hadron resonances relative to e.g. SPS energies, whence the included hadrons are treated as a noninteracting gas.