Nontopological soliton configuration in system involving three interacting scalar fields and obeying global U(1) × U(1) symmetry

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Abstract

A system possessing a global U(1) × U(1) symmetry and consisting of two complex scalar fields and a real scalar field is considered. The renormalized potential of the system is a quartic polynomial in the fields involved. It is shown that nontopological soliton Q-ball-like states exist in such a system. A set of nonlinear differential equations that describes such states is obtained. It is shown that, in the case of the thin-wall regime, the soliton configuration is absolutely stable with respect to a transition to a planewave configuration. A universal dependence of the energy and charges of the soliton configuration on the phase frequencies of rotation is obtained for the thick-wall regime. For a general case, the dependence of the energy and charges of the soliton configuration on the phase frequencies of rotation is constructed by numerical methods.

Original languageEnglish
Pages (from-to)945-959
Number of pages15
JournalPhysics of Atomic Nuclei
Volume70
Issue number5
DOIs
Publication statusPublished - 1 May 2007

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solitary waves
scalars
symmetry
configurations
thick walls
thin walls
balls
polynomials
differential equations
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

Cite this

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abstract = "A system possessing a global U(1) × U(1) symmetry and consisting of two complex scalar fields and a real scalar field is considered. The renormalized potential of the system is a quartic polynomial in the fields involved. It is shown that nontopological soliton Q-ball-like states exist in such a system. A set of nonlinear differential equations that describes such states is obtained. It is shown that, in the case of the thin-wall regime, the soliton configuration is absolutely stable with respect to a transition to a planewave configuration. A universal dependence of the energy and charges of the soliton configuration on the phase frequencies of rotation is obtained for the thick-wall regime. For a general case, the dependence of the energy and charges of the soliton configuration on the phase frequencies of rotation is constructed by numerical methods.",
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