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

Abstract

We estimate the branching ratio for the inclusive decays ${\Xi }_{bbq}\to {\bar{B}}_c^{(\ast )}+X_{c,s,q}$ 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 $(\ast )$ denotes that we are summing over spin zero ${\bar{B}}_c$ and spin one ${\bar{B}}_c^{\ast }$ 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 ${\bar{B}}_c^{\ast }$ 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.

Comments: 6 pages, 2 figures