Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solva...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149034 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708535054303232 |
|---|---|
| author | Duviryak, A. |
| author_facet | Duviryak, A. |
| citation_txt | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 46 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solvable. On this ground a relativistic potential model of light mesons is constructed and the mass spectrum is calculated. It is compared with experimental data.
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| first_indexed | 2025-12-07T17:11:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149034 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:11:45Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Duviryak, A. 2019-02-19T13:10:55Z 2019-02-19T13:10:55Z 2008 Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q05; 34A05 https://nasplib.isofts.kiev.ua/handle/123456789/149034 The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solvable. On this ground a relativistic potential model of light mesons is constructed and the mass spectrum is calculated. It is compared with experimental data. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons Article published earlier |
| spellingShingle | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons Duviryak, A. |
| title | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons |
| title_full | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons |
| title_fullStr | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons |
| title_full_unstemmed | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons |
| title_short | Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons |
| title_sort | solvable two-body dirac equation as a potential model of light mesons |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149034 |
| work_keys_str_mv | AT duviryaka solvabletwobodydiracequationasapotentialmodeloflightmesons |