Classical behaviour of Q-balls in the Wick-Cutkosky model
A.G. Panin, M.N. Smolyakov

TL;DR
This paper investigates the classical stability, nonlinear evolution, and external field behavior of Q-balls in the Wick-Cutkosky model, providing analytical and numerical insights into their properties.
Contribution
It offers a detailed analysis of Q-ball stability and dynamics in a two-scalar-field model, including nonlinear evolution and external field effects.
Findings
Q-balls exhibit specific stability properties in the Wick-Cutkosky model
Unstable Q-balls can undergo nonlinear evolution leading to different states
External fields influence Q-ball behavior in the non-relativistic limit
Abstract
In this paper, we continue discussing Q-balls in the Wick--Cutkosky model. Despite Q-balls in this model are composed of two scalar fields, they turn out to be very useful and illustrative for examining various important properties of Q-balls. In particular, in the present paper we study in detail (analytically and numerically) the problem of classical stability of Q-balls, including the nonlinear evolution of classically unstable Q-balls, as well as the behaviour of Q-balls in external fields in the non-relativistic limit.
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