Doubly heavy baryon ${\mathrm{\Xi }}_{cc}$ production in $\mathrm{\Upsilon }(1S)$ decay

We study the doubly heavy baryon ${\mathrm{\Xi }}_{cc}$ production in $\mathrm{\Upsilon }(1S)$ decay. The nonrelativistic framework is employed to describe the bound states for the calculation on the partial width. It is shown that the corresponding branching ratio can be significant and can be well measured as the $\mathrm{\Upsilon }(1S)$ decay to $J/\mathrm{\Psi }+c\overline{c}+\text{anything}$ process.

Figure 1

Six Feynman diagrams for the “amplitude” $A$ in Eq. (7). The g* g* g system are in the same color, angular momentum and charge conjugation states as those of $\mathrm{\Upsilon }$. The left bubble represents the wave function of $\mathrm{\Upsilon }$. $A$ does not include the bubble of ${\mathrm{\Xi }}_{cc}$ and the two legs connected to it, which correspond to the matrix element in Eq. (7).

Figure 2

Dependence of branching ratio on $m_c/m_b$.

Figure 3

The normalized momentum distribution of ${\mathrm{\Xi }}_{cc}$; solid,$h_3=0$; dashed, $h_1=0$.

Figure 4

The normalized momentum distribution of $\overline{c}$; solid,$h_3=0$; dashed, $h_1=0$.