在$\sqrt{s_{NN}}=5.02$ TeV的Pb+Pb碰撞中轻核、超氚核与$Ω$-超核的产生特性
Production characteristics of light nuclei, hypertritons and $Ω$-hypernuclei in Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV
AI总结：
本文通过扩展含超子的解析核子聚合模型，研究了Pb+Pb碰撞中轻核、超氚核及$Ω$-超核的产生，解释了ALICE数据并预言多种$Ω$-超核，提出平均横向动量比和中心度依赖产额比两组观测量，以揭示核产生机制与尺寸层级。
摘要：
我们将一个含超子的解析核子聚合模型进行扩展，以研究在$\sqrt{s_{NN}}=5.02$ TeV的Pb+Pb碰撞中轻核、超氚核和$Ω$-超核的产生。我们推导了两体聚合为双重子态以及三体聚合为三重子态的动量分布公式。我们解释了ALICE合作组测量的聚合因子$B_2$和$B_3$、横向动量谱、平均横向动量、产额快度密度、氘核、反氦-3、反氚核、超氚核的产额比等已有数据，并对不同的$Ω$-超核，例如$H(pΩ^-)$、$H(nΩ^-)$和$H(pnΩ^-)$，给出了预言。我们发现了两组有趣的观测量：轻（超）核与质子（超子）的平均横向动量比，以及它们依赖于中心度的产额比。前一组表现出原子核尺寸的反向层级结构，后一组有助于判断原子核的产生机制以及原子核自身的尺寸。
英文摘要：
We extend an analytical nucleon coalescence model with hyperons to study productions of light nuclei, hypertritons and $Ω$-hypernuclei in Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV. We derive the formula of the momentum distribution of two bodies coalescing into dibaryon states and that of three bodies coalescing into tribaryon states. We explain the available data of the coalescence factors $B_2$ and $B_3$, the transverse momentum spectra, the averaged transverse momenta, the yield rapidity densities, yield ratios of the deuteron, antihelium-3, antitriton, hypertriton measured by the ALICE collaboration, and give predictions of different $Ω$-hypernuclei, e.g., $H(pΩ^-)$, $H(nΩ^-)$ and $H(pnΩ^-)$. We find two groups of interesting observables, the averaged transverse momentum ratios of light (hyper-)nuclei to protons (hyperons) and the centrality-dependent yield ratios of theirs. The former group exhibits a reverse-hierarchy of the nucleus size, and the latter is helpful for the judgements of the nucleus production mechanism as well as the nucleus own size.
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