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Production of $ΩNN$ and $ΩΩN$ in ultra-relativistic heavy ion collisions

Even though lots of $Λ$-hypernuclei have been found and measured, multi-strangeness hypernuclei consisting of $Ω$ are not yet discovered. The studies of multi-strangeness hypernuclei help us further understand the interaction between hyperons and nucleons. Recently the $ΩN$ and $ΩΩ$ interactions as well as binding energies were calculated by the HAL-QCD's lattice Quantum Chromo-Dynamics (LQCD) simulations and production rates of $Ω$-dibaryon in Au + Au collisions at RHIC and Pb + Pb collisions at LHC energies were estimated by a coalescence model. The present work discusses the production of more exotic triple-baryons including $Ω$, namely $ΩNN$ and $ΩΩN$ as well as their decay channels. A variation method is used in calculations of bound states and binding energy of $ΩNN$ and $ΩΩN$ with the potentials from the HAL-QCD's results. The productions of $ΩNN$ and $ΩΩN$ are predicted by using a blast-wave model plus coalescence model in ultra-relativistic heavy-ion collisions at $\sqrt{s_{NN}} = 200$ GeV and $2.76$ TeV. Furthermore, plots for baryon number dependent yields of different baryons ($N$ and $Ω$), their dibaryons and hypernuclei are made and the production rate of a more exotic tetra-baryon ($ΩΩNN$) is extrapolated.