Research Of Energy Stability And Perturbation Of Q- Ball Dark Matter

Research of dark-matter theory and experiment are important topic of astroparticle, dark-matter is the main part of all the matter in the universe, and has a great influence on the structure and formation of galaxies. Dark matter may be composed of the lightist supersymmetry particles, these scalar particles exist in the universe in the form of non-topological solitons-Q ball. The multilayer Q-ball solutions with several potentials in Klein-Gordon equation are studied in this thesis, the U(1) charge and energy are calculated, energy stability and perturbation are analyzed; and the stability of Q-ball at finite temperature is discussed, the energy unstability of triple-layer Q-ball is also testified. In addition, exact solutions of charged Q-ball in uniformity scalar field model are obtained in this thesis, and numerical solutions of charged Q-ball in variational scalar field model are studied, the result show that energy stability can also exist in charged Q-ball model. This paper has also analyzed and discussed experiments for searching Q- ball dark-matter.The new works of this thesis are as follows:1. The exact solutions of Q-ball with several potentials in Klein-Gordon equation are found, the analytic expressions of U(1) charge and energy are calculated. Moreover, the energy stability and perturbation are analyzed and discussed.2. The exact solutions of charged Q-ball with coupling potential in uniformity scalar field model are obtained, the electric charge and energy are calculated, the energy stability and perturbation are studied.3. The numerical analysis of charged Q-ball solutions and energy stability are made in variational scalar field model.