# Binding of atoms in M\"uller theory

## TL;DR

This paper establishes a precise criterion for molecule formation in M"uller theory and links system stability to bounds on positive excess charge, enhancing understanding of molecular stability.

## Contribution

It provides a necessary and sufficient condition for molecules in M"uller theory and connects stability in the Born-Oppenheimer approximation to charge bounds.

## Key findings

- Necessary and sufficient condition for molecules in M"uller theory
- Bound on positive excess charge for stable systems
- Link between stability and charge bounds

## Abstract

We give a necessary and sufficient condition for the existence of molecules in M\"uller theory. Furthermore, we show that if a system is stable in Born-Oppenheimer approximation, then the bound on the positive excess charge $ Z-N \le cZ^{1-\epsilon}$ follows.