# Disentangling the pair and quartet condensates

## TL;DR

This paper introduces an analytical model to disentangle and analyze the interplay of pairing and quarteting correlations in neutron-rich nuclei, revealing a weakly interacting mixture primarily influenced by Pauli blocking.

## Contribution

The study presents a new Analytical Disentangled Condensate model that incorporates fractional degeneracy to clarify the coexistence of pairing and quarteting correlations in nuclei.

## Key findings

- Identifies a weakly interacting mixture of quartet and neutron pair condensates.
- Highlights the role of Pauli blocking in the interplay of correlations.
- Provides a framework applicable to other many-body systems.

## Abstract

We study the nontrivial interplay of the well known \emph{pairing} and the more complex \emph{quarteting} correlations in the particular case of $N>Z$ atomic nuclei. Within the new Analytical Disentangled Condensate model, by implementing the notion of \emph{fractional degeneracy} we obtain the clear physical picture of a rather weakly interacting mixture of quartet and neutron pair condensates which mainly feel each other's influence through Pauli blocking. The basic idea of our approach may be generalized in order to scrutinize the extent to which similar manifestations are present in various many-body systems.