Possible molecular states in $B^{(*)}B^{(*)}$ scatterings

TL;DR

This paper predicts the existence of doubly bottomed molecular states in B meson scatterings using a unitarized constituent interchange model, identifying bound and virtual states that could guide future experimental searches.

Contribution

It introduces a novel unitarization approach to B meson scattering amplitudes, predicting specific doubly bottomed molecular states and their properties.

Findings

Two bound state poles for $BB^*$ and $B^*B^*$ systems with $I(J^P)=0(1^+)$.

Virtual states near thresholds potentially indicating additional molecular states.

Guidance for experimental searches of doubly bottomed molecules.

Abstract

We present that, if unitarizing the $B^{(*)}B^{(*)}$ scattering amplitudes in the constituent interchange model, one can find two bound state poles for $(I_{tot},S_{tot})=(0,1)$ $BB^*$ and $B^*B^*$ system, which corresponds to two $I(J^P)=0(1^+)$ doubly bottomed molecular states. Furthermore, it is noticed that the virtual states in $(1,0)$ $BB$, $(1,1)$ $BB^*$, $(1,0)$ $B^*B^*$, and $(1,2)$ $B^*B^*$ systems could produce enhancements of the module squares of the scattering $T$-matrix just above the related thresholds, which might correspond to $I(J^P)=1(0^+)$, $1(1^+)$, and $1(2^+)$ doubly bottomed molecular states, respectively. The calculation may be helpful for searching for the doubly bottomed molecular state in future experiments.