47 citations · 131 across the 8 of their papers we have counts for
8 papers
Renormalization of the singular attractive potential
Mary Alberg, Michel Bawin, Fabian Brau
We study the radial Schrödinger equation for a particle of mass in the field of a singular attractive potential with particular emphasis on the bound states problem…
Upper limit on the critical strength of central potentials in relativistic quantum mechanics
Fabian Brau
In the context of relativistic quantum mechanics, where the Schrödinger equation is replaced by the spinless Salpeter equation, we show how to construct a large class of upper limi…
Scattering solutions of the spinless Salpeter equation
Fabian Brau, Claude Semay
A method to compute the scattering solutions of a spinless Salpeter equation (or a Schrodinger equation) with a central interaction is presented. This method relies on the 3-dimens…
Universality of Regge and vibrational trajectories in a semiclassical model
Bernard Silvestre-Brac, Fabian Brau, Claude Semay
The orbital and radial excitations of light-light mesons are studied in the framework of the dominantly orbital state description. The equation of motion is characterized by a rela…
Light Meson Spectra and Instanton Induced Forces
Fabian Brau, Claude Semay
The spinless Salpeter equation supplemented by an instanton induced force is used to describe the spectra of light mesons, including the pseudoscalar ones. The coupling constants o…
Bohr-Sommerfeld quantization and meson spectroscopy
Fabian Brau
We use the Bohr-Sommerfeld quantization approach in the context of constituent quark models. This method provides, for the Cornell potential, analytical formulae for the energy spe…