### 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 language | English |
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Pages (from-to) | 945-959 |

Number of pages | 15 |

Journal | Physics of Atomic Nuclei |

Volume | 70 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 May 2007 |

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### ASJC Scopus subject areas

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

### Cite this

**Nontopological soliton configuration in system involving three interacting scalar fields and obeying global U(1) × U(1) symmetry.** / Loginov, A. Yu.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Nontopological soliton configuration in system involving three interacting scalar fields and obeying global U(1) × U(1) symmetry

AU - Loginov, A. Yu

PY - 2007/5/1

Y1 - 2007/5/1

N2 - 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.

AB - 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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U2 - 10.1134/S1063778807050171

DO - 10.1134/S1063778807050171

M3 - Article

VL - 70

SP - 945

EP - 959

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 5

ER -