Stability in the instantaneous Bethe–Salpeter formalism: a reduced exact-propagator bound-state equation with harmonic interaction
- Author(s)
- Zhi Feng Li, Wolfgang Lucha, Franz Schöberl
- Abstract
Several numerical investigations of the Salpeter equation with static confining interactions of Lorentz-scalar type revealed that its solutions are plagued by instabilities of presumably Klein-paradox nature. By proving rigorously that the energies of all predicted bound states are part of real, entirely discrete spectra bounded from below, these instabilities are shown, for confining interactions of harmonic-oscillator shape, to be absent for a 'reduced' version of an instantaneous Bethe–Salpeter formalism designed to generalize the Salpeter equation towards an approximate inclusion of the exact propagators of all bound-state constituents.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Österreichische Akademie der Wissenschaften (ÖAW)
- Journal
- Journal of Physics G: Nuclear and Particle Physics
- No. of pages
- 6
- ISSN
- 0954-3899
- DOI
- https://doi.org/10.1088/0954-3899/35/11/115002
- Publication date
- 2008
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/stability-in-the-instantaneous-bethesalpeter-formalism-a-reduced-exactpropagator-boundstate-equation-with-harmonic-interaction(0b30b79a-1f9d-46cc-8a6b-77d2765a3fce).html