$Ω$-deuteron Interaction and $Ω$ Hypernuclei

Faisal Etminan, Mohammad Mehdi Firoozabadi

Published 2019-08-29Version 1

A simple folding model for $\Omega$-deuteron with maximal spin $\left(I\right)J^{P}=\left(0\right)5/2^{+}$ is presented. The $\Omega$ particle is taken to orbit an unperturbed deuteron in a $\Omega$-deuteron potential based on a separable $\Omega$-nucleon potential obtained in lattice QCD. The folding model approximate the three-body problem to a two-body problem is investigated in this context. The upper bound for binding energy, scattering length and effective range of $\Omega$ particle on a deuteron are approximated. Our calculation of binding energy from simple two-body approximation are in good agreement by reported results from three-body problem. While the interaction of $\Omega$-nucleon are strong enough to form two-body bound states, it is desirable to check possibility of $\Omega$ hypernuclei. We derive a single-folding potential for $\Omega$ hypernuclei from the $\Omega$-nucleon potential obtained in lattice QCD. We calculate the binding energy of the $\Omega$ hypernuclei and estimate the effect of coulomb force to check existence of $\Omega$ hypernuclei.