Production correlation of light (hyper-)nuclei in Au-Au collisions from the RHIC Beam Energy Scan

Based on nucleons (p, n) and hyperons ($Λ$, Ω⁻) formed at kinetic freeze-out from a quark combination model, we systematically study the production of light nuclei and hyper-nuclei in the hadronic coalescence picture. We present the analytical formula of the nucleus momentum distribution of two-body coalescence and that of three-body coalescence. We explain the experimental data of the transverse momentum spectra of deuteron (d), triton (t), helium-3 (³He) and hypertriton (³_ΛH) measured in Au-Au collisions from the RHIC Beam Energy Scan I and II, and also provide the corresponding predictions of different $Ω-$hypernuclei H(pΩ⁻), H(nΩ⁻) and H(pnΩ⁻). We further study the production correlations of different species of light (hyper-)nuclei and discuss their interesting behaviors as a function of collision energy.