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Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Інший ID:
2000 Mathematics Subject Classification: 81Q05; 34A05
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine).
Дата:
2008
Переглядів:
453
Завантажень:
230
Анотація:
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.
