Email this article Relativistic Partial Integral Equations for Two-Particle Bound States and the Sturm–Liouville Problem
- Authors: Kapshai V.N.1, Fialka S.I.1
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Affiliations:
- Francisk Skorina Gomel’ State University
- Issue: Vol 58, No 9 (2016)
- Pages: 1237-1247
- Section: Elementary Particle Physics and Field Theory
- URL: https://bakhtiniada.ru/1064-8887/article/view/236741
- DOI: https://doi.org/10.1007/s11182-016-0638-6
- ID: 236741
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Abstract
Bound states of a relativistic two-particle system with arbitrary orbital angular momentum are considered. Three-dimensional integral equations are reduced to partial integral equations and differential equations. Analytical and numerical solutions are presented. The dependences of the spectra of the coupling constant and of the wave functions on various parameters are investigated.
About the authors
V. N. Kapshai
Francisk Skorina Gomel’ State University
Author for correspondence.
Email: kapshai@rambler.ru
Belarus, Gomel’
S. I. Fialka
Francisk Skorina Gomel’ State University
Author for correspondence.
Email: sergey.fialka@gmail.com
Belarus, Gomel’
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