1993/05/18 by Hans Hersbach, H. Hersbach, Hersbach, H.
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9305010
26 pages REVTEX 3.0, 1 PS figure, THU-93/13
arxiv created 1993/05/18 · openalex publication_date 1993/05/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper a relativistic quantum theory introduced by de Groot and Ruijgrok in 1975, is used as a quark model in momentum space. The complete spectrum, with the exception of the selfconjugate light unflavoured mesons, is calculated. The potential used consists of an one-gluon-exchange (OGE) part and a confining part. For the confining part a relativistic generalization of the linear plus constant potential was used, which is well-defined in momentum space without introducing any singularities. For the OGE part several potentials were investigated. Retardations were included at all places. Using a fitting procedure involving 52 well-established mesons, best results were obtained for a potential consisting of a purely vector Richardson potential and a purely scalar confining potential. In this way a vector confining is entirely induced by the Richardson potential. Reasonable results were also obtained for a modified Richardson potential. Most meson masses, with the exception of the π, the K and the K0^*, were found to be reasonably well described by the model.