2000/05/18 by Fabian Brau
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.62.014005
published as Phys.Rev. D62 (2000) 014005 · 13 pages
openalex publication_date 2000/05/18 · arxiv created 2004/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use the Bohr-Sommerfeld quantization approach in the context of constituent quark models. This method provides, for the Cornell potential, analytical formulas for the energy spectra which closely approximate numerical exact calculations performed with the Schr"odinger or the spinless Salpeter equations. The Bohr-Sommerfeld quantization procedure can also be used to calculate other observables such as the rms radius or wave function at the origin. The asymptotic dependence of these observables on quantum numbers is also obtained in the case of potentials which behave asymptotically as a power law. We discuss the constraints imposed by these formulas on the dynamics of the quark-antiquark interaction.