$J/\Psi$ mass shift and $J/\Psi$-nuclear bound state

TL;DR

This paper investigates the in-medium mass shift of the $J/\Psi$ meson in nuclear matter due to meson loop modifications, predicting an attractive potential and possible bound states.

Contribution

It provides a consistent calculation of the $J/\Psi$ mass shift considering in-medium $D$ and $D^*$ meson masses, and explores $J/\Psi$-nuclear bound states.

Findings

$J/\Psi$ mass shift is negative and attractive.

Predicted $J/\Psi$-nuclear bound state energies.

Complementary to QCD color van der Waals force results.

Abstract

We calculate mass shift of the $J/\Psi$ meson in nuclear matter arising from the modification of $DD, DD^*$ and $D^*D^*$ meson loop contributions to the $J/\Psi$ self-energy. The estimate includes the in-medium $D$ and $D^*$ meson masses consistently. The $J/\Psi$ mass shift (scalar potential) calculated is negative (attractive), and complementary to the attractive potential obtained from the QCD color van der Waals forces. Some results for the $J/\Psi$-nuclear bound state energies are also presented.