Possible Existence of Charmonium-Nucleus Bound States

Abstract

Possible existence of $(c\bar{c})-$nucleus bound states are examined. We adopt Gaussian potentials for the ${\eta }_c-N$ and $J/\psi -N$ interactions. The relations between the scattering lengths $a$ of $(c\bar{c})-N$ interactions and the binding energies of ${\eta }_c-NN$, $J/\psi -NN$ and $J/\psi {-}^4$He are given. The results show that scattering lengths $a\le -0.95$ fm are needed to make ${\eta }_c-NN$ and $J/\psi -NN$ bound states, while for $a\le -0.24$ fm there may exist a $J/\psi {-}^4$He bound state.

Comments: 18 pages, 14 figures. Submitted to PTEP