Singularity in Potential, Perturbation and Variational Methods

Details Singularity in Potential, Perturbation and Variational Methods Singularity in Potential, Perturbation and Variational Methods

1999-02-12

arxiv.org/abs/hep-ph/9902330v1

Commun.Theor.Phys.33:613-620,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex

Scientific paper

In this work, we carefully study the energy eigen-values and splitting of
heavy quarkonia as there exist $1/r^3$ and $\delta^3(\vec r)$ singular terms in
the potential which make a direct numerical solution of the Schr\"{o}dinger
equation impossible. We compare the results obtained in terms of perturbation
and variational methods with various treatments.

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