Large-j Expansion Method for Two-Body Dirac Equation

By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a bound state problem. Linear-plus-Coulomb potentials of different spin structure...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2006
Main Author: Duviryak, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146425
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Large-j Expansion Method for Two-Body Dirac Equation / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 35 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Duviryak, A.
author_facet Duviryak, A.
citation_txt Large-j Expansion Method for Two-Body Dirac Equation / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 35 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a bound state problem. Linear-plus-Coulomb potentials of different spin structure are examined in order to describe the asymptotic degeneracy and fine splitting of light meson spectra.
first_indexed 2025-11-25T23:55:25Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-25T23:55:25Z
publishDate 2006
publisher Інститут математики НАН України
record_format dspace
spelling Duviryak, A.
2019-02-09T16:49:31Z
2019-02-09T16:49:31Z
2006
Large-j Expansion Method for Two-Body Dirac Equation / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 35 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81Q05; 81Q15; 81Q20
https://nasplib.isofts.kiev.ua/handle/123456789/146425
By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a bound state problem. Linear-plus-Coulomb potentials of different spin structure are examined in order to describe the asymptotic degeneracy and fine splitting of light meson spectra.
The author would like to thank Professors V. Tretyak and I. Simenog, Dr. Yu. Yaremko and Referees for helpful suggestions and critical comments.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Large-j Expansion Method for Two-Body Dirac Equation
Article
published earlier
spellingShingle Large-j Expansion Method for Two-Body Dirac Equation
Duviryak, A.
title Large-j Expansion Method for Two-Body Dirac Equation
title_full Large-j Expansion Method for Two-Body Dirac Equation
title_fullStr Large-j Expansion Method for Two-Body Dirac Equation
title_full_unstemmed Large-j Expansion Method for Two-Body Dirac Equation
title_short Large-j Expansion Method for Two-Body Dirac Equation
title_sort large-j expansion method for two-body dirac equation
url https://nasplib.isofts.kiev.ua/handle/123456789/146425
work_keys_str_mv AT duviryaka largejexpansionmethodfortwobodydiracequation