# Quark-Hadron Crossover with Vortices

## TL;DR

This paper explores the quark-hadron crossover, proposing a connection between hadronic superfluid vortices and non-Abelian vortices in the CFL phase, introducing the concept of a colorful boojum at the junction.

## Contribution

It generalizes the quark-hadron crossover conjecture to include topological vortices, linking hadronic and quark matter vortices through a novel junction concept.

## Key findings

- Hadronic vortices can connect to non-Abelian vortices during crossover.
- Three hadronic vortices form a junction called a colorful boojum with non-Abelian vortices.
- The model explains vortex continuity in quark-hadron transition.

## Abstract

The quark-hadron crossover conjecture was proposed as a continuity between hadronic matter and quark matter with no phase transition. It is based on matching of symmetry and excitations in both the phases. It connects hyperon matter and color-flavor locked (CFL) phase of color superconductivity in the limit of light strange quark mass. We study generalization of this conjecture in the presence of topological vortices. We propose a picture where hadronic superfluid vortices in hyperon matter could be connected to non-Abelian vortices (color magnetic flux tubes) in the CFL phase during this crossover. We propose that three hadronic superfluid vortices must join together to three non-Abelian vortices with different color fluxes with the total color magnetic fluxes canceled out, where the junction is called a colorful boojum.