2017/12/05 by М. Н. Сергеенко, Sergeenko, M. N.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1712.02641
openalex publication_date 2017/12/05 · openalex created_date 2017/12/22 · openalex updated_date 2026/07/28
Relativistic bound state problem in hadron physics is studied. Mesons and their resonance excitations in the framework of Relativistic Quantum Mechanics (RQM) are investigated. Two-particle wave equation for the Lorentz scalar QCD inspired funnel-type potential with the coordinate dependent strong coupling α_§(r) is derived. The concept of distance dependent particle mass is developed. Two exact asymptotic expressions for the system's squared mass are obtained and used to derive the meson interpolating complex-mass formula. Free particle hypothesis for the bound state is developed: quark and antiquark move as free particles in of the bound system. Practical applications of the model are given.