19 citations · 106 across the 19 of their papers we have counts for
19 papers
The Spinless Relativistic Hellmann Problem
Wolfgang Lucha, Franz F. Schöberl
We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which…
Instantaneous Bethe-Salpeter Kernel for the Lightest Pseudoscalar Mesons
Wolfgang Lucha, Franz F. Schöberl
Starting from a phenomenologically successful, numerical solution of the Dyson-Schwinger equation that governs the quark propagator, we reconstruct in detail the interaction kernel…
Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons
Wolfgang Lucha, Franz F. Schöberl
Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states wh…
Stability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction
Z. -F. Li, Wolfgang Lucha, F. Schoberl
Several numerical investigations of the Salpeter equation with static confining interactions of Lorentz-scalar type revealed that its solutions are plagued by instabilities of pres…
Stability of the Solutions of Instantaneous Bethe-Salpeter Equations with Confining Interactions
Wolfgang Lucha, F. Schoberl
For two bound-state equations derived as simplified forms of the Bethe-Salpeter equation with confining interaction, stability of all solutions is rigorously shown.
Stability of Salpeter Solutions
Wolfgang Lucha, F. Schoberl
In the framework of instantaneous approximations to the Bethe-Salpeter formalism for the description of bound states within quantum field theories, depending on the Lorentz structu…