包含性 beauty-charm 重子衰变 $Ξ_{bcq} \to Ξ_{ccq} +X$
Inclusive beauty-charmed baryons decay $Ξ_{bcq} \to Ξ_{ccq} +X$
AI总结：
本文基于非相对论势夸克模型研究了$Ξ_{bcq} \to Ξ_{ccq} +X$衰变，计算了四个主导通道的衰变率，并指出该衰变可作为LHC发现$Ξ_{bc}$的可行通道。
摘要：
我们研究了在非相对论势夸克模型框架下，$Ξ_{bcq} \to Ξ_{ccq} + X$（$q=u,d,s$）的包含性弱衰变。将重双夸克$Φ_{bc}$和$Φ_{cc}$视为紧凑的色反三重束缚态，通过从科尼尔势导出的薛定谔波函数的重叠积分计算了过渡形式因子。计算了四个主导通道的衰变率——$Φ_{bc} \to Φ_{cc} + \bar{c}s$、$Φ_{bc} \to Φ_{cc} + \bar{u}s$、$Φ_{bc} \to Φ_{cc} + e/μ+ \barν$以及$Φ_{bc} \to Φ_{cc} + τ+ \barν_τ$，得到总包含性衰变宽度为$Γ(Ξ_{bcq} \to Ξ_{ccq} + X) \approx 4.1 \times 10^{-13}$ GeV。我们还评估了来自$B_c^- \to Ξ_{cc} + X$衰变的潜在背景，发现其速率约为$ 3.0 \times 10^{-14}$ GeV，大约比信号过程小一个数量级。我们的结果表明，包含性衰变$Ξ_{bc} \to Ξ_{cc} + X$，随后是已确立的$Ξ_{cc}$衰变链，为在LHC上发现双重重子$Ξ_{bc}$提供了一种可行的发现通道。
英文摘要：
We investigate the inclusive weak decay $Ξ_{bcq} \to Ξ_{ccq} + X$ ($q=u,d,s$) within the framework of the non-relativistic potential quark model. Treating the heavy diquarks $Φ_{bc}$ and $Φ_{cc}$ 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-$Φ_{bc} \to Φ_{cc} + \bar{c}s$, $Φ_{bc} \to Φ_{cc} + \bar{u}s$, $Φ_{bc} \to Φ_{cc} + e/μ+ \barν$, and $Φ_{bc} \to Φ_{cc} + τ+ \barν_τ$-are computed, yielding a total inclusive decay width of $Γ(Ξ_{bcq} \to Ξ_{ccq} + X) \approx 4.1 \times 10^{-13}$ GeV. We also evaluate the potential background from $B_c^- \to Ξ_{cc} + X$ 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 $Ξ_{bc} \to Ξ_{cc} + X$ , followed by the well-established $Ξ_{cc}$ decay chains, provides a viable discovery channel for the doubly heavy baryon $Ξ_{bc}$ at the LHC.
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