An Estimate of the Inclusive Branching Ratio to B_c in Ξ_(bbq) Decay

Abstract

We estimate the branching ratio for the inclusive decays Ξ_(bbq) → 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 B_c and spin one B^∗_c mesons and the subscript q denotes a light quark. Our approach treats the two bottom quarks in the baryon Ξ_(bbq) as a small color anti-triplet. This estimate for the inclusive branching ratio to B_c and B^∗_c mesons also holds for decays of the lowest lying T_(bbqq) tetraquark states, provided they are stable against strong and electromagnetic decay.

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