Inclusive beauty-charmed baryons decay ${\Xi }_{bcq}\to {\Xi }_{ccq}+X$

Abstract

We investigate the inclusive weak decay ${\Xi }_{bcq}\to {\Xi }_{ccq}+X$ ($q=u,d,s$) within the framework of the non-relativistic potential quark model. Treating the heavy diquarks ${\Phi }_{bc}$ and ${\Phi }_{cc}$ as compact color anti-triplet bound states, we calculate the transition form factors via the overlap integral of Schrödinger wave functions derived from the Cornell potential. The decay rates for four dominant channels-${\Phi }_{bc}\to {\Phi }_{cc}+\bar{c}s$, ${\Phi }_{bc}\to {\Phi }_{cc}+\bar{u}s$, ${\Phi }_{bc}\to {\Phi }_{cc}+e/\mu +\bar{\nu }$, and ${\Phi }_{bc}\to {\Phi }_{cc}+\tau +{\bar{\nu }}_{\tau }$-are computed, yielding a total inclusive decay width of $\Gamma ({\Xi }_{bcq}\to {\Xi }_{ccq}+X)\approx 4.1\times 10^{-13}$ GeV. We also evaluate the potential background from $B_c^{-}\to {\Xi }_{cc}+X$ decays, finding a rate of approximately $3.0\times 10^{-14}$ GeV, which is roughly one order of magnitude smaller than the signal process. Our results suggest that the inclusive decay ${\Xi }_{bc}\to {\Xi }_{cc}+X$ , followed by the well-established ${\Xi }_{cc}$ decay chains, provides a viable discovery channel for the doubly heavy baryon ${\Xi }_{bc}$ at the LHC.