An estimate of the inclusive branching ratio to B¯c in Ξ decay

Abstract We estimate the branching ratio for the inclusive decays Ξ b b q → B ¯ c ( ⁎ ) + X c , s , q to be approximately 1%. Our estimate is performed using non-relativistic potential quark modelmethods that are appropriate if the bottom and charm quarksare 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 quarksin the baryon Ξ b b q 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 b b q ¯ q ¯ tetraquarkstates, provided they are stable against strong and electromagnetic decay.