We compute the $J/\psi \pi\to { charmed mesons}$ cross section using QCD sum rules. This cross section is important to distinguish the suppression in the production of $J/\psi$ through the dissociation by comoving pions and through the formation of quark-gluon plasma. Our sum rules for the $J/\psi \pi\to \bar{ D} D^*$, $D \bar{ D}^*$, ${ \bar D}^* D^*$ and ${ \bar D} D$ hadronic matrix elements are constructed by using vaccum-pion correlation functions, and we work up to twist-4 in the soft-pion limit. After doing a thermal average we get $<\sigma^{ \pi J/\psi} v>\sim 0.2 - 0.4$ mb at $T=150\MeV$
Categories: nucl-th hep-ph