# First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model

## TL;DR

This paper explores first-order solitons with internal structures in an extended Maxwell-$CP(2)$ model, revealing how a dielectric function influences vortex shapes and internal features through numerical analysis.

## Contribution

It introduces a Maxwell-$CP(2)$ model with a dielectric function and finds novel vortex solutions with internal structures using the Bogomol'nyi method.

## Key findings

- Numerical solutions show regular vortices with internal structures.
- Vortex shapes differ significantly from canonical models.
- Internal structures are characterized by the dielectric function choice.

## Abstract

We study a Maxwell-$CP(2)$ model coupled to a real scalar field through a dielectric function multiplying the Maxwell term. In such a context, we look for first-order rotationally symmetric solitons by means of the Bogomol'nyi algorithm, i.e. by minimizing the total energy of the effective model. We perform our investigation by choosing an explicit form of the dielectric function. The numerical solutions show regular vortices whose shapes dramatically differ from their canonical counterparts. We can understood such differences as characterizing the existence of an internal structure.