Progress in the determination of the $J/ψ-π$ cross section

Details Progress in the determination of the $J/ψ-π$ cross section Progress in the determination of the $J/ψ-π$ cross section

2002-11-28

arxiv.org/abs/nucl-th/0211092v1

Phys.Rev. C68 (2003) 035208

Physics

Nuclear Physics

Nuclear Theory

22 pages, RevTeX4 including 7 figures in ps files

Scientific paper

10.1103/PhysRevC.68.035208

Improving previous calculations, we compute the $J/\psi \pi\to {charmed mesons}$ cross section using QCD sum rules. 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. Our results suggest that, using meson exchange models is perfectly acceptable, provided that they include form factors and that they respect chiral symmetry. After doing a thermal average we get $<\sigma^{\pi J/\psi} v>\sim 0.3$ mb at $T=150\MeV$.

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