Solvable two-body Dirac equation as a potential model of light mesons

DOI10.3842/SIGMA.2008.048zbMATH Open1193.81017arXiv0805.4725MaRDI QIDQ935721

Askold Duviryak

Publication date: 8 August 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0805.4725

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zbMATH Keywords

Regge trajectoriessolvable modelDirac oscillatortwo body Dirac equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Explicit solutions, first integrals of ordinary differential equations (34A05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Resonance in context of PDEs (35B34)

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