The further analytical discussions on theU(1)gauged Q-balls withN-power potential

Abstract

We discuss the U(1) gauged Q-balls with N-power potential to examine their properties analytically. More numerical descriptions and some analytical consideration have been contributed to the models governed by four-power potential. We also demonstrate strictly some new limitations that the stable U (1) gauged Q-balls should accept instead of estimating those with only some specific values of model variables numerically. Having derived the explicit expressions of radius, the Noether charge and energy of the gauged Q-balls, we find that these models under the potential of matter field with general power and the boundary conditions will exist instead of dispersing and decaying. The Noether charge of the large gauged Q-balls must be limited. The mass parameter of the model can not be tiny.

Quasi-compact Q-balls

“…The profile of the quasi-compact Q-ball, the possibility of thinking of compact objects as Q-balls made of scalar fields [18] and the perspective of using it as dark-matter candidate motivate new studies and we are now examining the extension of the above results to the (3, 1)dimensional scenario, with the addition of gauge and gravitational fields; see, e.g., ref. [49] for the interesting approach based on variational estimation. Other possibilities concern the two-dimensional vortex and Q-ball system described in [22] and the one-dimensional soliton system of gauged Q-ball and anti-Q-ball presented in [24], focusing on the construction of new solutions, with the quasicompact profile described in this work.…”