Excited doubly heavy baryon production via $W^{+}$ boson decays

Abstract

In this paper, decay widths of the doubly heavy baryons (${\Xi }_{cc}\text{and}{\Xi }_{bc}$) production are theoritically calculated in the whole phase space through $W^{+}\to {\Xi }_{cc}+\bar{c}+\bar{s}$ and $W^{+}\to {\Xi }_{bc}+\bar{b}+\bar{s}$, within the framework of nonrelativistic QCD (NRQCD). Differential widths $d\Gamma /d{s}_{12}$, $d\Gamma /d{s}_{23}$, $d\Gamma /dcos{\theta }_{12}$, and $d\Gamma /dcos{\theta }_{13}$ are also given. In addition to the ordinary S wave contributions for the baryons, we specifically calculate P wave contributions as a comparison, namely the high excited states of the intermediate diquark, including ${[}^1{P}_1]$ and ${[}^3{P}_J]$ (with $J=0,1,2$) in both color anti-triplet state $\overline{3}$ and color sextuplet state $6$. It shows that the contribution from P wave is about one order lower than S wave. According to the results, we can expect plentiful events produced at the LHC, i.e., $3.69\times 10^5$ ${\Xi }_{cc}$ events and $4.91\times 10^4$ ${\Xi }_{bc}$ events per year.

Comments: 11 pages, 5 figures