# An Estimate of the Inclusive Branching Ratio to ${\bar B}_c$ in $\Xi_{bbq}$ Decay

## TL;DR

This paper estimates the inclusive branching ratio of about 1% for the decay of the doubly bottom baryon q into anti-charmed mesons plus other particles, using non-relativistic quark models.

## Contribution

It provides a novel estimate of the inclusive decay branching ratio for q baryons into _c mesons using potential quark models, applicable also to certain tetraquark states.

## Key findings

- Estimated branching ratio is approximately 1%.
- Method uses non-relativistic potential quark models.
- Results are applicable to specific tetraquark states.

## Abstract

We estimate the branching ratio for the inclusive decays $\Xi_{bbq} \rightarrow {\bar B}_c^{(*)}+X_{c,s,q}$ to be approximately 1%. Our estimate is performed using non-relativistic potential quark model methods that are appropriate if the bottom and charm quarks are heavy compared to the strong interaction scale. Here the superscript $(*)$ denotes that we are summing over spin zero ${\bar B}_c$ and spin one ${\bar B}_c^*$ mesons and the subscript $q$ denotes a light quark. Our approach treats the two bottom quarks in the baryon $\Xi_{bbq}$ as a small color anti-triplet. This estimate for the inclusive branching ratio to ${\bar B}_c$ and ${\bar B}^*_c$ mesons also holds for decays of the lowest lying $T_{bb{\bar q}{\bar q}}$ tetraquark states, provided they are stable against strong and electromagnetic decay.