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

Abstract

Based on nucleons ($p$, $n$) and hyperons ($\Lambda$, $\Omega^-$) 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 ($^3$He) and hypertriton ($^3_{\Lambda}$H) measured in Au-Au collisions from the RHIC Beam Energy Scan I and II, and also provide the corresponding predictions of different $\Omega-$hypernuclei $H(p\Omega^-)$, $H(n\Omega^-)$ and $H(pn\Omega^-)$. We further study the production correlations of different species of light (hyper-)nuclei and discuss their interesting behaviors as a function of collision energy.