Families of stable and metastable solitons in coupled system of scalar fields

TL;DR

This paper explores stable and metastable soliton solutions in a coupled scalar field system with multiple vacua, analyzing their classical stability and quantum decay processes, including chiral decay behavior.

Contribution

It introduces new families of soliton solutions in a coupled scalar system with multiple vacua, examining their classical stability and quantum decay mechanisms.

Findings

Stable and metastable soliton solutions with specific topological charges.

Numerical calculation of chiral decay of V-type into D-type solitons.

Classical stability and quantum decay behavior analyzed.

Abstract

In this paper, we obtain stable and metastable soliton solutions of a coupled system of two real scalar fields with five five discrete points of vacua. These solutions have definite topological charges and rest energies and show classical dynamical stability. From a quantum point of view, however, the V-type solutions are expected to be unstable and decay to D-type solutions. The induced decay of a V-type soliton into two D-type ones is calculated numerically, and shown to be chiral, in the sense that the decay products do not respect left-right symmetry.