# Tri-meson bound state $BBB^{\ast}$ via delocalized $\pi$~Bond

## TL;DR

This paper explores the possibility of a bound state formed by three B mesons ($BBB^*$) using the one-pion exchange potential, suggesting such a tri-meson molecule could exist if its two-body subsystems are bound.

## Contribution

It introduces a novel investigation of the $BBB^*$ three-meson system as a potential tri-meson molecular state using three-body Schrödinger equation analysis.

## Key findings

- Predicted the possible existence of a $BBB^*$ bound state.
- Established a link between two-body $BB^*$ molecular states and the three-body $BBB^*$ state.
- Provided a theoretical framework for exploring tri-meson molecules.

## Abstract

During the last decades, numerous exotic states which cannot be explained by the conventional quark model have been observed in experiment. Some of them can be understood as two-body hadronic molecules, such as the famous $X(3872)$, analogous to deuteron in nuclear physics. Along the same line, the existence of the triton leaves an open question whether there is a bound state formed by three hadrons. Since, for a given potential, a system with large reduced masses is more easier to form a bound state, we study the $BBB^{\ast}$ system with the one-pion exchange potential as an exploratory step by solving the three-body Schr\"odinger Equation. We predict that a tri-meson molecular state for the $BBB^{\ast}$ system is probably existent as long as the molecular states of its two-body subsystem $BB^*$ exist.