Abstract
Applying a finite color symmetry group, it is shown that every “elementary particle” can be associated with a unique graph. This graph describes the gluon motions and is called the particle's strong graph. One also has an associated weak graph that describes the photon motions. Using the strong (weak) graph, one can exhibit the various strong (weak) decay modes of a particle. Roughly speaking, the particle graph disintegrates into smaller graphs that represent the decay products. The disintegration is dictated by certain decay operations and these operations have specified probability costs. The costs are then used to predict branching ratios and decay probabilities. For the examples presented, these predictions agree with experiment to within 1%.
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