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

Abstract

We estimate the branching ratio for the inclusive decays Ξbbq→B¯c(⁎)+Xc,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 Ξbbq 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 Tbbq¯q¯ tetraquark states, provided they are stable against strong and electromagnetic decay.