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The Spinless Relativistic Hellmann Problem

High Energy Physics - Phenomenology 2019-02-26 v1 Mathematical Physics math.MP Nuclear Theory Quantum Physics

Abstract

We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which are expressible as superpositions of an attractive Coulomb potential and an either attractive or repulsive Yukawa potential and, hence, generalizations of the Hellmann potential employed in several areas of science. These insights should provide useful guidelines to all attempts of finding appropriate descriptions of bound states by (semi-) relativistic equations of motion.

Keywords

Cite

@article{arxiv.1812.10756,
  title  = {The Spinless Relativistic Hellmann Problem},
  author = {Wolfgang Lucha and Franz F. Schöberl},
  journal= {arXiv preprint arXiv:1812.10756},
  year   = {2019}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-23T06:57:23.632Z