# Status of Alpha-Particle Condensate Structure of the Hoyle State

## TL;DR

This paper reviews current theoretical understanding of the Hoyle state's structure in carbon-12, focusing on evidence for alpha-particle condensation and comparing various approaches.

## Contribution

It provides a comprehensive summary and analysis of theoretical models assessing alpha-particle condensation in the Hoyle state and similar states in heavier nuclei.

## Key findings

- Most models are consistent with alpha-particle condensation evidence.
- The review highlights the strengths and limitations of different theoretical approaches.
- There is ongoing debate about the definitive nature of the Hoyle state's structure.

## Abstract

The present understanding of the structure of the Hoyle state in 12C is reviewed. Most of the theoretical approaches to the Hoyle state are shortly summarized. The corresponding results are analyzed with respect to whether they give evidence to the alpha particle condensation structure of the Hoyle state (and other Hoyle-like states in heavier self-conjugate nuclei) or not.