# Few-body insights of multiquark exotic hadrons

## TL;DR

This paper explores the dynamics of multiquark exotic hadrons with 4- and 5-body systems, emphasizing accurate methods over simplified approximations, and uses inequalities to identify stability limits.

## Contribution

It demonstrates the effectiveness of variational and Born-Oppenheimer methods over diquark approximations in multiquark systems and applies inequalities to assess stability.

## Key findings

- Variational and Born-Oppenheimer approximations closely match exact energies.
- Diquark approximation can be misleading for multiquark states.
- Hall-Post inequalities set useful lower bounds for stability analysis.

## Abstract

In this contribution we discuss the adequate treatment of the $4-$ and $5-$body dynamics within a constituent quark framework. We stress that the variational and Born-Oppenheimer approximations give energies rather close to the exact ones, while the diquark approximation might be rather misleading. Hall-Post inequalities provide very useful lower bounds that exclude possible stable states for some mass ratios and color wave functions.