The Study Of Energy Stability And Excited State In Q-bubble Dark Matter

In the past years, the research of astroparticle physics shown that dark matter has already become main part of universe, the dark matter has an important influence on the formation of cosmic structure. Therefore, the studying this kind of dark matter is one of the main problems in particle physics and cosmology. In 1985, Coleman proposed Q-ball model in some scalar field theory, the search of Kusenko etal. pointed out this Q-ball may exist in supersymmetry theory.A new Q matter model—Q-bubble is constructed in this thesis, the field equation of Q-bubble are derived in complex scalar fields model, the exact solutions of field equation are obtained by using two running potentials; the U(1) charges and energy on ground state and excited state are calculated in the same case. The energy stability is also studied for this kind of Q-bubble.Moreover, we studied the Q-bubble model with the action of electromagnetic field, the field equation and conserved charge are derived by means of Lagrangian and gauge field expression, the Q-bubble solution are obtained in uniform electric field model. The energy stability of this Q-bubble is proved. At the same time, the excited states and energy perturbation are calculated.The new works of this thesis are as follows:1. The Q-bubble model in complex scalar field is constructed, the field equations of Q-bubble are derived.2. The exact solutions of Q-bubble field equations are obtained by using two running potentials. Moreover, the exact solutions in uniform electric field model are studied.3. The energy stability, perturbation and excited states in Q-bubble model are analysed.