This study aims to investigate the production of light nuclei, hypertritons, and \(\Omega\) -hypernuclei in Pb+Pb collisions at \(\sqrt{s_\text {NN}}={5.02\,\textrm{TeV}}\) using a modified analytical nucleon coalescence model with hyperons. To this end, the momentum distributions of two bodies coalescing into dibaryon states and of three bodies coalescing into tribaryon states are derived. Available data on coalescence factors \(B_2\) and \(B_3\) , transverse momentum spectra, averaged transverse momenta, yield rapidity densities, and yield ratios of the deuteron, antihelium-3, antitriton, and hypertriton measured by the ALICE collaboration are explained. Productions of different species of \(\Omega\) -hypernuclei \(H(\textrm{p}\Omega ^-)\) , \(H(\textrm{n}\Omega ^-)\) , and \(H(\textrm{pn}\Omega ^-)\) are predicted. Particularly, the production correlations of different light (hyper-)nuclei are studied, and two groups of interesting observables—the averaged transverse momentum ratios of light (hyper-)nuclei to protons (hyperons) and their corresponding yield ratios—are studied. The averaged transverse momentum ratio group exhibits a reverse hierarchy of the nucleus size, and the yield raito group is sensitive to the nucleus production mechanism as well as the size of the nucleus.
