# A combined mean-field and three-body model tested on the $^{26}$O-nucleus

## TL;DR

This paper introduces a combined mean-field and three-body model for nuclear systems, successfully applied to $^{26}$O, capturing decay processes and matching experimental data with fewer parameters.

## Contribution

It develops a self-consistent three-body model using Skyrme interactions, unifying few- and many-body physics for bound and continuum states.

## Key findings

- Reproduces experimental data for $^{26}$O
- Shows direct decay into the continuum
- Aligns with phenomenological models

## Abstract

We combine few- and many-body degrees of freedom in a model applicable to both bound and continuum states and adaptable to different subfields of physics. We formulate a self-consistent three-body model for a core-nucleus surrounded by two valence nucleons. We treat the core in the mean-field approximation and use the same effective Skyrme interaction between both core and valence nucleons. We apply the model to $^{26}$O where we reproduce the known experimental data as well as phenomenological models with more parameters. The decay of the ground state is found to proceed directly into the continuum without effect of the virtual sequential decay through the well reproduced $d_{3/2}$-resonance of $^{25}$O.