Inclusive approach to hunt for the beauty-charmed baryons <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math>

Abstract

With a distinctive internal structure from all established hadrons, the beauty-charmed baryons ${\mathrm{\ensuremath{\Xi}}}_{bc}$ can provide us with new points of view to decipher the strong interaction. In this work, we point out that the inclusive ${\mathrm{\ensuremath{\Xi}}}_{bc}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}_{cc}^{++}+X$ decay is a golden channel for the experimental discovery of ${\mathrm{\ensuremath{\Xi}}}_{bc}$ at the LHC. A unique feature of this process is that the ${\mathrm{\ensuremath{\Xi}}}_{cc}^{++}$ is displaced, which greatly reduces the combinatorial background. A feasibility analysis is performed on the ${\mathrm{\ensuremath{\Xi}}}_{bc}^{+}$ search, which is expected to have a longer lifetime than ${\mathrm{\ensuremath{\Xi}}}_{bc}^{0}$ and thus a better displacement resolution. The ${\mathrm{\ensuremath{\Xi}}}_{bc}^{+}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}_{cc}^{++}+X$ branching ratio is calculated within the heavy diquark effective theory. Combining the production rate of ${\mathrm{\ensuremath{\Xi}}}_{bc}$ and the detection efficiency of ${\mathrm{\ensuremath{\Xi}}}_{cc}^{++}$, we anticipate that hundreds of signal events will be collected during LHCb Run 3.

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