Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

Details Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

2008-05-30

arxiv.org/abs/0805.4725v1

SIGMA 4:048,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.048

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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