Bohr-Sommerfeld quantization and meson spectroscopy

Details Bohr-Sommerfeld quantization and meson spectroscopy Bohr-Sommerfeld quantization and meson spectroscopy

2004-12-14

arxiv.org/abs/hep-ph/0412170v1

Phys.Rev. D62 (2000) 014005

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages

Scientific paper

10.1103/PhysRevD.62.014005

We use the Bohr-Sommerfeld quantization approach in the context of constituent quark models. This method provides, for the Cornell potential, analytical formulae for the energy spectra which closely approximate numerical exact calculations performed with the Schrodinger or the spinless Salpeter equations. The Bohr-Sommerfeld quantization procedure can also be used to calculate other observables such as r.m.s. radius or wave function at the origin. Asymptotic dependence of these observables on quantum numbers are also obtained in the case of potentials which behave asymptotically as a power-law. We discuss the constraints imposed by these formulae on the dynamics of the quark-antiquark interaction.

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