Simple Woods-Saxon type form for $\Omega \alpha$ and $\Xi \alpha$ interactions using Folding Model

Abstract

We derive a simple Woods-Saxon type form for the potentials between $Y=\Xi ,\Omega$ and $\alpha$ by using a single-folding potential method, based on a separable $Y$-nucleon potential. Accordingly, the potentials $\Xi +\alpha$ and $\Omega +\alpha$ are obtained using the ESC08c Nijmegens $\Xi N$ potential (in ${}^3{S}_1$ channel) and HAL QCD Collaboration $\Omega N$ interactions (in lattice QCD), respectively. In deriving the potential between $Y$ and $\alpha$, the same potential between $Y$ and $N$ is used. Binding energy, scattering length and effective range of $Y$ particle on the alpha particle are approximated by the resultant potentials. The depths of the potentials in $\Omega \alpha$ and $\Xi \alpha$ systems are obtained $-61$ and $-24.4$ MeV, respectively. In the case of $\Xi \alpha$ potential, a fairly good agreement is observed between the single-folding potential method and the phenomenological potential of Dover-Gal model. These potentials can be used in 3-,4- and 5-body cluster structures of $\Omega$ and $\Xi$ hypernuclei.

arXiv comment5 pages, 5 figures, 5 Tables, to be published in Chinese Physics C

References in corpus (13)

• $N\Omega$ dibaryon from lattice QCD near the physical point
• First observation of an attractive interaction between a proton and a multi-strange baryon
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Effective Baryon-Baryon Potentials in the Quark Delocalization and Color Screening Model
• ${\Lambda }_{c}N$ interaction from lattice QCD and its application to ${\Lambda }_c$ hypernuclei
• Light $\Xi$ hypernuclei in four-body cluster models
• $N\Omega$ interaction: meson exchanges, inelastic channels, and quasibound state
• Further study of the $N\Omega$ dibaryon within constituent quark models
• $\Omega NN$ and $\Omega \Omega N$ states
• Maximal isospin few-body systems of nucleons and $\Xi$ hyperons
• $\Omega d$ bound state
• Alpha-clustered hypernuclei and chiral SU(3) dynamics
• ${\Xi }^{-}t$ quasibound state instead of $\Lambda \Lambda nn$ bound state

Cited by in corpus (6)

• Femtoscopic study of the $\Lambda \alpha$ interaction
• Folding procedure for $\Omega$-$\alpha$ potential
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
• 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