Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
High Energy Physics - Phenomenology
2008-12-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0805.4725,
title = {Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons},
author = {Askold Duviryak},
journal= {arXiv preprint arXiv:0805.4725},
year = {2008}
}
Comments
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/