Motivated by recent HAL QCD simulations of the $\phi N$ interaction in the $^4S_{ 3/2}$ channel and its modification in the $^2S_{ 1/2}$ channel, we develop a first-principles few-body framework that embeds these potentials into configuration-space Faddeev--Yakubovsky equations. We predict bound $^4_\phi\mathrm{ H}$, $^4_\phi\mathrm{ He}$, and $^5_\phi\mathrm{ He}$ nuclei by performing calculations for $\phi$-mesic $\phi NNN$ and $\phi NNNN$ systems. Both spin-dependent and spin-independent $\phi N$ interactions are considered, leading to deeply and moderately bound states, respectively. The deeply bound states originate from the strong attraction in the $^2S_{ 1/2}$ $\phi N$ channel. Coulomb shifts of the binding energies are evaluated. Our findings provide the binding mechanism and demonstrate the importance of short-range $\phi N$ attraction.
Categories: nucl-th hep-lat