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.
Highlights
Introduction++ cc (or in the notation used in this paper ccu ) was discovered at LHCb [1]. It has been observed in the exclusive decay modes,
In 2017, the doubly charmed baryon++ cc was discovered at LHCb [1]
It has been observed in the exclusive decay modes
Summary
++ cc (or in the notation used in this paper ccu ) was discovered at LHCb [1]. It has been observed in the exclusive decay modes,. There is considerable interest in the detection of the analogous baryons containing two heavy bottom quarks bbq, q = u, d, partly because it would be the first step to observing the tetraquark states, Tbbqq They are thought to be stable with respect to the strong and electromagnetic interactions with masses that are around 100-200 MeV below the Bq Bq threshold [3,4,5]. Gershon and Poluektov [6] proposed the inclusive decay mode bbq → Bc + Xc,s,q as a potential discovery channel for the doubly bottom baryon bbq at the LHC They made the clever observation that Bc ’s that do not point back to the collision interaction point can only arise from the weak decay of a hadron with two bottom quarks. Another difference is that the baryon decay matrix element is proportional to an overlap of wave-functions while the meson decay matrix element is proportional to the J /ψ wave function at the origin
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