Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions

Abstract

The two-particle momentum correlation between the Omega-baryon ($\Omega$) and the ${}^{4}He(\alpha )$ in high-energy heavy ion collisions is explored. Such correlations as an alternative source of information can help us further understand the interaction between $\Omega$ and nucleons (N). $\Omega \alpha$ potentials in the single-folding potential approach are constructed by employing two different available $\Omega N$ interactions in ${}^5{S}_2$ channel, i.e, one is based on the (2 + 1)-flavor lattice QCD simulations near the physical point by the HAL QCD collaboration, and another is based on the meson exchanges with effective Lagrangian, where in the latter case coupled channels effect is considered. It is found that the correlation functions at small size source depends on the used potential model. This implicitly means that at high density nuclear medium, $\Omega \alpha$ momentum correlation could drive the feature of $\Omega N$ interactions. Moreover, by extracting the scattering length and the effective range from obtained $\Omega \alpha$ potentials, the correlation functions are calculated within the Lednicky-Lyuboshits (LL) formalism. It is shown that since the $\Omega \alpha$ has large interaction range, the LL formula leads to different results at small source size.

14 pages, 9 Figures, 1 Table. arXiv admin note: text overlap with arXiv:2406.03572

References in corpus (16)

• Nuclear Force from Lattice QCD
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Study of the strong interaction among hadrons with correlations at the LHC
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Dibaryon with highest charm number near unitarity from lattice QCD
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• Construction of energy-independent potentials above inelastic thresholds in quantum field theories
• Production of $\Omega NN$ and $\Omega \Omega N$ in ultra-relativistic heavy ion collisions
• Exploring the strong interaction of three-body systems at the LHC
• Novel model for particle emission in small collision systems
• Deuteron-Deuteron Correlation Function in Nucleus-Nucleus Collisions
• Femtoscopic study of the $\Lambda \alpha$ interaction
• Folding procedure for $\Omega$-$\alpha$ potential
• Coupled-channel ${\Lambda }_c{K}^{+}-p{D}_s$ Interaction in Flavor $\text{SU}\left(3\right)$ Limit of Lattice QCD

Cited by in corpus (1)

• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study