713 citations
- Centre National de la Recherche ScientifiqueFR18 papers
- Université Grenoble AlpesFR10 papers
- National University of Ireland, MaynoothIE9 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR8 papers
- Université Libre de BruxellesBE8 papers
- Sorbonne UniversitéFR6 papers
- Stockholm UniversitySE6 papers
- Université Joseph FourierFR6 papers
- University of AntwerpBE6 papers
- University of OxfordGB6 papers
- University of WuppertalDE6 papers
- Uppsala UniversitySE6 papers
13 papers · 1 filter
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…