Production characteristics of light nuclei, hypertritons and $\Omega$-hypernuclei in Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV

摘要: We extend an analytical nucleon coalescence model with hyperons to study productions of light nuclei, hypertritons, and $\Omega$-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 $\Omega$-hypernuclei, e.g., $H(p\Omega^-)$, $H(n\Omega^-)$ and $H(pn\Omega^-)$. We particularly study the production correlations of different light (hyper-)nuclei and find two groups of interesting observables, the averaged transverse momentum ratios of light (hyper-)nuclei to protons (hyperons) and their corresponding yield ratios. The former group exhibits a reverse hierarchy of the nucleus size, and the latter is sensitive to the nucleus production mechanism as well as the nucleus's own size.