Bohr-Sommerfeld quantization and meson spectroscopy

dc.creatorBrau, Fabian
dc.date2004-12-14
dc.date.accessioned2026-07-07T03:54:04Z
dc.date.available2026-07-07T03:54:04Z
dc.descriptionWe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-ph/0412170
dc.identifierhttp://arxiv.org/abs/hep-ph/0412170
dc.identifierPhys.Rev. D62 (2000) 014005
dc.identifierdoi:10.1103/PhysRevD.62.014005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/44090
dc.subjectHigh Energy Physics - Phenomenology
dc.titleBohr-Sommerfeld quantization and meson spectroscopy
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