Motivated by recent HAL QCD simulations of the $\varphi N$ interaction in the ${{}^{4}S}_{3/2}$ channel and its modification in the ${{}^{2}S}_{1/2}$ channel, we investigate light $\varphi$-mesic systems with total number of particles $A=3–5$ using configuration-space Faddeev and Faddeev-Yakubovsky formalism. Binding energies of $\varphi NN$, $\varphi NNN$, and $\varphi NNNN$ systems are evaluated for both spin-dependent and spin-independent $\varphi N$ interactions controlled by a phenomenological strength parameter. The $\varphi N$, $\varphi NN$, $\varphi NNN$, and $\varphi NNNN$ systems are analyzed under different mass scenarios and varying spin splitting of the $\varphi N$ interaction. The bound states in the $\varphi$-mesic nuclei ${}_{\varphi }{}^4\mathrm{H}$, ${}_{\varphi }{}^4\mathrm{He}$, and ${}_{\varphi }{}^5\mathrm{He}$ were predicted. In particular, the strongly attractive ${{}^{2}S}_{1/2}$ component of the $\varphi N$ potential generates deeply bound $\varphi$-mesic nuclear states. The low-energy correlation effects in the $\varphi$-mesic nuclei are described. Coulomb shifts of the binding energies are evaluated. Our findings clarify the binding mechanism and the structure of $\varphi$-mesic nuclei, as well as the role of short-range $\varphi N$ interaction.

Close

PrevNext

View figure in article

• Few-body systems
• Hypernuclei & mesic nuclei
• Lattice QCD
• Nuclear binding
• Nuclear forces