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arXiv 2007.11170hep-phnucl-exnucl-th
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相对论重离子碰撞中具有强子相互作用势的格点量子色动力学产生$Ω$ -重子

$Ω$-dibaryon production with hadron interaction potential from the lattice QCD in relativistic heavy-ion collisions

S. Zhang, Y. G. Ma

备注：
7 pages, 3 figures, 2 tables; Physics Letters B (accepted)
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摘要：

最近，HAL QCD合作组用格点量子色动力学模拟了$Ω-Ω$和$N-Ω$相互作用势。在此基础上，预测了$NΩ$（$^5S_2$）和$ΩΩ$（$^1S_0$）的结合态，结合能约为几MeV.此外，$N-Ω$ HBT相关函数也由STAR协作组和ALICE协作组测量。这些结果提供了在相互作用方面是否存在$Ω$ -二重子的动力学信息。探测$Ω$ -重子的另一个必要条件是束缚态能够在系统中产生和存活的实验环境。在这种背景下，至少有两个必要条件限制$Ω$ -重子的产生几率，一个是形成束缚态所必需的短程吸引相互作用，另一个是重离子碰撞等实验环境提供了足够丰富的核子奇异性和多重性.本文利用格点量子色动力学模拟的$Ω-Ω$和$Ω-$核子相互作用势，得到了$ΩΩ$（$^1S_0$）和$NΩ$（$^5S_2$）波函数，并利用动力学聚并机制估算了$\sqrt{s_{NN}} = $ 200 GeV和2.76 TeV相对论重离子碰撞中$Ω$ -重子的产生.

英文摘要：

Recently the HAL QCD Collaboration reported the $Ω-Ω$ and $N-Ω$ interaction potentials by the lattice QCD simulations. Based on these results, $NΩ$ ($^5S_2$) and $ΩΩ$ ($^1S_0$) bound states were predicted with the binding energy about a few MeV. In addition, $N-Ω$ HBT correlation function was also measured by the STAR Collaboration as well as the ALICE Collaboration. These results provide dynamical information whether or not $Ω$-dibaryons exist in the interaction aspects. Another necessary point for the detection of $Ω$-dibaryons is the experimental environment where the bound state could be produced and survived in the system. In this context, there are at least two necessary conditions to constrain the production probability of $Ω$-dibaryons, i.e. the one is the necessary short-range attractive interaction to form the bound state and the another is the experimental environment such as heavy-ion collision provides abundant enough strangeness and multiplicity of nucleons. In this Letter the $Ω-Ω$ and $Ω-$nucleon interaction potentials by the lattice QCD simulations were employed to obtain $ΩΩ$ ($^1S_0$) and $NΩ$ ($^5S_2$) wave functions, and then the productions of $Ω$-dibaryons were estimated by using of a dynamical coalescence mechanism for the relativistic heavy-ion collisions at $\sqrt{s_{NN}} = $ 200 GeV and 2.76 TeV.

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