Folding procedure for $\Omega$-$\alpha$ potential

Abstract

Using the folding procedure, we investigate the bound state of the $\Omega$+$\alpha$ system based on $\Omega$-$N$ (${}^5{S}_2$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong $\Omega$-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, and the central HAL QCD $\Omega$-$N$ potential, we performed numerical calculations for the folding $\Omega$-$\alpha$ potential. Our results show that the $V_{\Omega \alpha }(r)$ potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter $R=1.1A^{1/3}\approx 1.74$ fm ($A=4$) in the asymptotic region where $2<r<3$ fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the $\Omega$+$\alpha$ system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the $\Xi$-$\alpha$ folding potential based on a simulation of the ESC08c $Y$-$N$ Nijmegen model. A comprehensive comparison between the $\Xi$-$\alpha$ folding and $\Xi$-$\alpha$ phenomenological potentials is presented and discussed.

arXiv comment9 pages, 3 Figures

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Cited by in corpus (4)

• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions
• Bound States of $\Omega$ Baryons in Light Nuclei
• Probing $\varphi$N interaction through bound states of $\varphi \text{N-}\alpha$ system