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

@article{Duviryak2008SolvableTD,
  title={Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons ?},
  author={Askold Duviryak},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2008},
  volume={4},
  pages={048}
}
  • A. Duviryak
  • Published 30 May 2008
  • Physics
  • Symmetry Integrability and Geometry-methods and Applications
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. 
2 Citations

Figures from this paper

Exactly solvable relativistic model with the anomalous interaction

A special class of Dirac-Pauli equations with time-like vector potentials of an external field is investigated. An exactly solvable relativistic model describing the anomalous interaction of a

Quantization of almost-circular orbits in the Fokker action formalism

The time-non-local action principle of Fokker type determining a two-particle dynamics is considered. The system is assumed to be general but invariant with respect to the Aristotle group, which is a

References

SHOWING 1-10 OF 49 REFERENCES

Two-body Dirac equation and Regge trajectories.

The spin-triplet spectra of light and heavy neutral mesons are studied in the framework of a free two-body Dirac equation supplemented by a linear scalar confinement interaction. The theoretical

Large-j Expansion Method for Two-Body Dirac Equation

By using symmetry properties, the two-body Dirac equation in coordinate rep- resentation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion

Two‐body Dirac equation with diagonal central potentials

Solutions of the two‐body Dirac equation with diagonal central potentials are investigated, both for particle–particle and particle–antiparticle cases. A detailed study of the symmetry properties of

Two-Body Dirac Equations for Relativistic Bound States of Quantum Field Theory

We review a little-known treatment of the relativistic two-body bound-state problem - that provided by Two-Body Dirac Equations obtained from constraint dynamics. We describe some of its more

Relativistic wave equations for the dynamics of two interacting particles.

  • Sazdjian
  • Physics
    Physical review. D, Particles and fields
  • 1986
The method consists in quantizing the manifestly covariant formalism with constraints of classical relativistic Hamiltonian mechanics, which satisfies two independent wave equations, which determine in a definite way the two-particle wave function's relative time evolution.

Relativistic description of quarkonium.

  • Brayshaw
  • Physics
    Physical review. D, Particles and fields
  • 1987
A relativistic (four-spinor) model Hamiltonian for quarksonium is proposed in the context of the two-particle Dirac equation, leading to a very successful global description of quarkonium as characterized by the spectrum of meson states.

The many body problem in relativistic quantum mechanics

We discusse a relativistic Hamiltonian for an n-body problem in which all the masses are equal and all spins take value 1/2. In the frame of reference in which the total momentum $\v{P}=0$, the

Relativistic quarkonium dynamics.

  • Sazdjian
  • Physics
    Physical review. D, Particles and fields
  • 1986
We present, in the framework of relativistic quantum mechanics of two interacting particles, a general model for quarkonium systems satisfying the following four requirements: confinement,

Relativistic naive quark model for spinning quarks in mesons

We use two-body Dirac equations (derived from Dirac's constraint mechanics and super-symmetry) to make the naive quark model fully relativistic. Our covariant equations incorporate not only