English

Singularity in Potential, Perturbation and Variational Methods

High Energy Physics - Phenomenology 2018-01-17 v1

Abstract

In this work, we carefully study the energy eigen-values and splitting of heavy quarkonia as there exist 1/r31/r^3 and δ3(r)\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.

Keywords

Cite

@article{arxiv.hep-ph/9902330,
  title  = {Singularity in Potential, Perturbation and Variational Methods},
  author = {Yi-Bing Ding and Xue-Qian Li and Peng-Nian Shen},
  journal= {arXiv preprint arXiv:hep-ph/9902330},
  year   = {2018}
}

Comments

14 pages, Latex