$J/ψ$ dissociation by pions in QCD

Physics – Nuclear Physics – Nuclear Theory

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revised version to be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(03)00709-3

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 $T=150\MeV$

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