Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-05
J.Phys.A33:4491-4506,2000
Physics
High Energy Physics
High Energy Physics - Theory
LATEX file, 21 pp., 4 figures
Scientific paper
10.1088/0305-4470/33/24/307
The relativistic two-body system in (1+1)-dimensional quantum electrodynamics is studied. It is proved that the eigenvalue problem for the two-body Hamiltonian without the self-interaction terms reduces to the problem of solving an one-dimensional stationary Schr\"odinger type equation with an energy-dependent effective potential which includes the delta-functional and inverted oscillator parts. The conditions determining the metastable energy spectrum are derived, and the energies and widths of the metastable levels are estimated in the limit of large particle masses. The effects of the self-interaction are discussed.
Dombey Norman
Saradzhev Fuad
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