1994/09/22 by C. A. A. Nunes, César Nunes, F. S. Navarra +8
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9409389
Same results, but some conceptual ramifications and explanations. 32 pages. RevTex
openalex publication_date 1994/09/22 · arxiv created 1994/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An effective hamiltonian for heavy quarkonia is derived from QCD by separating gluonic fields in background and quantum fields and neglecting anharmonic contributions. Mesonic states with nonperturbative gluonic components are constructed. These states are invariant under gauge changes of the background fields and form an orthogonal basis. The effective hamiltonian is diagonalized in this basis in a systematic 1/m- and short distance expansion. For very heavy quarkonia, we obtain an effective potential similar to the phenomenological funnel potential. We compare our method to 2\rm nd order perturbation theory in the background fields and demonstrate its applicability even for the relatively light charmonium system. The results to order 1/m for pseudoscalar meson masses and wave functions are shown and compared with those of the Cornell model.