$J/\Psi$-nuclear bound states

TL;DR

This paper calculates the energies of $J/\Psi$-nuclear bound states across various nuclei using the Proca equation, highlighting potential experimental signatures for detecting these states.

Contribution

It introduces a method to predict $J/\Psi$-nuclear bound states using medium-modified meson masses and the quark-meson coupling model, providing a new approach to study these states.

Findings

Bound states are predicted for a range of nuclei.

Clear experimental signatures are possible in recoilless production.

Medium modifications of meson masses are crucial for binding energies.

Abstract

$J/\Psi$-nuclear bound state energies are calculated for a range of nuclei by solving the Proca (Klein-Gordon) equation. Critical input for the calculations, namely the medium-modified $D$ and $D^*$ meson masses, as well as the nucleon density distributions in nuclei, are obtained from the quark-meson coupling model. The attractive potential originates from the $D$ and $D^*$ meson loops in the $J/\Psi$ self-energy in nuclear medium. It appears that $J/\Psi$-nuclear bound states should produce a clear experimental signature provided that the $J/\Psi$ meson is produced in recoilless kinematics.