Long-Range Forces of QCD

Abstract

We consider the scattering of two color dipoles (e.g., heavy quarkonium states) at low energy - a QCD analog of Van der Waals interaction. Even though the couplings of the dipoles to the gluon field can be described in perturbation theory, which leads to the potential proportional to (N_c^2-1)/R^{7}, at large distances R the interaction becomes totally non-perturbative. Low-energy QCD theorems are used to evaluate the leading long-distance contribution \sim (N_f^2-1)/(11N_c - 2N_f)^2 R^{-5/2} exp(-2 μR) (μis the Goldstone boson mass), which is shown to arise from the correlated two-boson exchange. The sum rule which relates the overall strength of the interaction to the energy density of QCD vacuum is derived. Surprisingly, we find that when the size of the dipoles shrinks to zero (the heavy quark limit in the case of quarkonia), the non-perturbative part of the interaction vanishes more slowly than the perturbative part as a consequence of scale anomaly. As an application, we evaluate elastic πJ/ψand πJ/ψ\to πψ' cross sections.

16pages, 9 eps figures; discussion extended, 2 new references added, to appear in Phys.Rev.D

References in corpus (7)

• Is J/psi-Nucleon Scattering Dominated by the Gluonic van der Waals Interaction?
• $J/\psi$-Nucleon Scattering Length and In-medium Mass Shift of $J/\psi$ in QCD Sum Rule Analysis
• ${\Psi }^{\prime }/\Psi$ ratio in Nucleus-Nucleus Collisions : a Measure for the Chiral Symmetry Restoration Temperature ?
• Theoretical Interpretations of J/Psi Suppression: A Summary
• Hadronic and Electromagnetic Interactions of Quarkonia
• Multiparticle Dynamics 1997: Concluding Talk
• Nucleon-Quarkonium Elastic Scattering and the Gluon Contribution to Nucleon Spin

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