Analytical approximations to the spectra of quark-antiquark potentials

Details Analytical approximations to the spectra of quark-antiquark potentials Analytical approximations to the spectra of quark-antiquark potentials

2006-02-13

arxiv.org/abs/hep-ph/0602114v1

J.Phys. G32 (2006) 1061-1072

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures, 1 table

Scientific paper

10.1088/0954-3899/32/7/014

A method, recently devised to obtain analytical approximations to certain classes of integrals, is used in combination with the WKB expansion to derive accurate analytical expressions for the spectrum of quantum potentials. The accuracy of our results is verified by comparing them both with the literature on the subject and with the numerical results obtained with a Fortran code. As an application of the method that we propose, we consider the meson spectroscopy with various phenomenological potentials.

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