Spin, Isospin and Strong Interaction Dynamics

Details Spin, Isospin and Strong Interaction Dynamics Spin, Isospin and Strong Interaction Dynamics

2011-07-23

arxiv.org/abs/1107.4688v1

Physics

General Physics

14 pages, 1 figure

Scientific paper

The structure of spin and isospin is analyzed. Although both spin and isospin are related to the same SU(2) group, they represent different dynamical effects. The Wigner-Racah algebra is used for providing a description of bound states of several Dirac particles in general and of the proton state in particular. Isospin states of the four $\Delta (1232)$ baryons are discussed. The work explains the small contribution of quarks spin to the overall proton spin (the proton spin crisis). It is also proved that the addition of QCD's color is not required for a construction of an antisymmetric state of the $\Delta ^{++} (1232)$ baryon.

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