Higgs Mechanism, Mass Formulas of Hadrons, Dark Matter and Fractal Model of Particle
Yi‐Fang Chang · 2014
Based on the Higgs equation, whose soliton solution is substituted into the Dirac coupled equation with Higgs field, in the approximation of non-relativity we derive the Morse potential, whose energy spectrum is the GMO mass formula and its modified supersymmetric Higgsino equation possess the nonzero fundamental states, and relate to quantum distributions, repulsive force and dark matter. Based on the extensive quark- preon-prepreon model, the fractal model of particle is proposed. When it is simplified, two fractal dimensions 1.4311337… and 2.0329171… are obtained. This model correlates to Brownian motion, renormalization, many shell model, complex dimension and various scalings, etc.