Exploring $ \Lambda{\text-} $ and $ \Xi{\text -}$triton correlation functions in heavy-ion collisions

TL;DR

This paper investigates hyperon-triton correlation functions in heavy-ion collisions, using experimental data and theoretical potentials to predict how different interactions can be distinguished through correlation measurements.

Contribution

It introduces new calculations of $ ext{ } \Lambda t$ and $ ext{ } \Xi t$ correlation functions using both experimental data and first-principles potentials, highlighting their sensitivity to interaction models.

Findings

$ ext{ } \Lambda t$ correlation functions calculated from experimental data.

Predictions show potential to distinguish interaction models at small source sizes.

Sensitivity of $ ext{ } \Xi t$ correlation functions to different theoretical potentials.

Abstract

The $ \Lambda{\text -} $ and $ \Xi{\text -}$triton(t) momentum correlation functions, to be measured in high-energy heavy-ion collisions, are explored. Mainly, STAR detector acquired data provides an opportunity to explore the $ \Lambda t $ correlation function. The $ \Lambda t $ correlation functions are calculated using an isle-type and spin-averaged $ \Lambda t $ potential, also, its sensitivity to changes in potential strength has also been investigated. % Besides, even though there is no experimental data on the $ \Xi{\text -} $triton interaction yet, I constructed $\Xi t$ potentials based on the first principles HAL QCD and Nijmegen extended soft-core (ESC08c) model of spin- and isospin averaged $\Xi N$ interactions in single-folding potentials (SFP) approach. Then, the $\Xi t$ correlation functions are calculated for these two modern potentials as well as for Nijmegen hard-core model D (NHC-D) $\Xi N$ potential. The numerical results predict that, with good measurement resolution, it might be possible to recognize different potentials with a correlation function at relatively small source sizes, i.e., $ R = 1-3 $ fm.