Examination of the $\varphi -NN$ bound-state problem with lattice QCD $N-\varphi$ potentials

Abstract

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $\left(\varphi \right)$ and two nucleons $\left(\text{NN}\right)$ system. The newly published spin $3/2$ $ \textrm{N-\ensuremathϕ} $ potential based on the $\left(\text{2+1}\right)$-flavor lattice QCD simulations near physical point, and realistic $\text{NN}$ Malfliet-Tjon (MT) potential, are employed. Our numerical calculations for $(I)J^{\pi }=(0)2^{-}$ $\varphi \text{-d}$ system in maximum spin leads to ground state binding energy of about $7$ MeV and a matter radius of about $8$ fm. Our results indicates the possibility of the formation of new nuclear clusters.

12 pages, 2 figures,

References in corpus (10)

• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• Particle motion in a deformed potential using a transformed oscillator basis
• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Indication of a p-$\varphi$ bound state from a correlation function analysis
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Production of $\Omega NN$ and $\Omega \Omega N$ in ultra-relativistic heavy ion collisions
• $\Omega NN$ and $\Omega \Omega N$ states
• New nuclear three-body clusters ϕ{NN}
• The $\varphi p$ bound state in the unitary coupled-channel approximation

Cited by in corpus (9)

• On a possible ${}_{\varphi }^3$H hypernucleus with HAL QCD interaction
• Folding procedure for $\Omega$-$\alpha$ potential
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• Examination of the lattice QCD-motivated strong attractive $\Omega N$ potentials in the ${\Omega }^{-}np$ system
• $B_c^{\pm }$-${}^{12}$C states and detailed study of momentum space method for ${\rm Y}$- and ${\eta }_b$-nucleus bound states
• Probing $\varphi$N interaction through bound states of $\varphi \text{N-}\alpha$ system
• Possible Existence of ${}_{\varphi }^3$H, ${}_{\varphi }^4$H, ${}_{\varphi }^4$He, and ${}_{\varphi }^5$He Nuclei