Abstract
After the experimental establishment of doubly heavy baryons, baryons with three quarks are the last missing pieces of the lowest-lying baryon multiplets in quark model. In this work we study semileptonic and nonleptonic weak decays of triply heavy baryons, $\Omega_{ccc}^{++}, \Omega_{ccb}^{+}, \Omega_{cbb}^{0}, \Omega_{bbb}^{-}$. Decay amplitudes for various channels are parametrized in terms of a few SU(3) irreducible amplitudes. We point out that branching fractions for Cabibbo allowed processes, $\Omega_{ccc}\to (\Xi_{cc}^{++} \overline K^0, \Xi_{cc}^{++}K^-\pi^+, \Omega_{cc}^{+}\pi^+, \Xi_{c}^+ D^+, \Xi_{c}^{\prime} D^+, \Lambda_c D^+\overline K^0, \Xi_{c}^+ D^0 \pi^+, \Xi_{c}^0 D^+\pi^+)$ may reach a few percents. We suggest our experimental colleagues to perform a search at hadron colliders and the electron and positron collisions in future, which will presumably lead to discoveries of triply heavy baryons and complete the baryon multiplets. Using the expanded amplitudes, we derive a number of relations for the partial widths which can be examined in future.
Highlights
In the past decades, hadron spectroscopy has experienced a rapid renaissance, predominantly propelled by discoveries of a number of hadron resonances that defy the standard quark model interpretations
Charm and bottom quarks are much heavier than the u, d, and s; baryons with three heavy quarks will refrain from light-quark contaminations, and the study
The main focus of this paper is to provide a systematic analysis of weak decays of the lowest-lying triply heavy baryons, Ωccc;ccb;cbb;bbb
Summary
Hadron spectroscopy has experienced a rapid renaissance, predominantly propelled by discoveries of a number of hadron resonances that defy the standard quark model interpretations. One of the highlights in recent years is the discovery of Ξþccþ by the LHCb Collaboration [5]: mΞþccþ 1⁄4 ð3621.40 Æ 0.72 Æ 0.27 Æ 0.14Þ MeV: ð1Þ This observed state Ξþccþ fills well in the quark model as the lowest-lying ccu baryon [6]. The main focus of this paper is to provide a systematic analysis of weak decays of the lowest-lying triply heavy baryons, Ωccc;ccb;cbb;bbb. Various types of weak decays of triply heavy baryons occur, but a universal dynamical (factorization) approach cannot be established yet. This gives a barrier for us to predict their decay widths.
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