Examination of the lattice QCD-motivated strong attractive $\Omega N$ potentials in the ${\Omega }^{-}np$ system

Abstract

Within the framework of the Faddeev equations in configuration space, we examine the ${\Omega }^{-}np$ system, employing strongly attractive lattice HAL QCD and Yukawa-type meson exchange potentials for the $\Omega N$ interaction. Our formalism incorporates the attractive Coulomb force between the ${\Omega }^{-}$ and proton, treating the system as three non-identical particle pairs (the $ABC$ model). In this study, we assess the impact of the Coulomb interaction on the system and compare our results with recent $\Omega NN$ ($AAC$ model) calculations obtained using various approaches. The $ABC$ model yields low-energy characteristics for the \(ΩNN\) system that differ from previous calculations. The Coulomb potential has a marginal perturbative effect on the $AAC$ system, shifting the three-body binding energy by the Coulomb energy of the two-body $BC$ subsystem, but only slightly deviating the spatial configuration from isosceles triangle symmetry. These effects are primarily driven by the strong \(ΩN\) interaction. We demonstrate that the large binding energy of the ${\Omega }^{-}np$ system arises from the short-range behavior of the $\Omega N$ potentials.

arXiv comment13 pages, 4 figures

References in corpus (34)

• Strangeness in nuclear physics
• The nature of the Lambda(1405) resonance in chiral dynamics
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• Four-body cluster structure of $A=7-10$ double-$\Lambda$ hypernuclei
• $N\Omega$ dibaryon from lattice QCD near the physical point
• Most Strange Dibaryon from Lattice QCD
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Probing Multi-Strange Dibaryon with Proton-Omega Correlation in High-energy Heavy Ion Collisions
• Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4
• Is there a bound Lambda-n-n ?
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Precision electromagnetic structure of decuplet baryons in the chiral regime
• Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions
• $N\Omega$ interaction: meson exchanges, inelastic channels, and quasibound state
• Scattering of decuplet baryons in chiral effective field theory
• Further study of the $N\Omega$ dibaryon within constituent quark models
• High strangeness dibaryons in the extended quark delocalization, color screening model
• Deeply bound $\Xi$ tribaryon
• Production of $\Omega NN$ and $\Omega \Omega N$ in ultra-relativistic heavy ion collisions
• $\Omega NN$ and $\Omega \Omega N$ states
• Maximal isospin few-body systems of nucleons and $\Xi$ hyperons
• Three-body resonances Lambda-n-n and Lambda-Lambda-n
• On Binding Energy of Trions in Bulk Materials
• Three-body model for $K(1460)$ resonance
• On a possible ${}_{\varphi }^3$H hypernucleus with HAL QCD interaction
• $N\Omega$ and $\Delta \Omega$ dibaryons in SU(3) chiral quark model
• New nuclear three-body clusters ϕ{NN}
• On mass polarization effect in three-body systems
• Light $\Xi$ hypernuclei
• Recent progresses in strange quark stars
• $\Omega d$ bound state
• Examination of the $\varphi -NN$ bound-state problem with lattice QCD $N-\varphi$ potentials
• $(I,J^P)=(1,1/2^{+})$ $\Sigma NN$ quasibound state
• Configuration mixing and effective baryon-baryon interactions

Cited by in corpus (2)

• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Bound States of $\Omega$ Baryons in Light Nuclei