Light and Heavy Mesons in The Complex Mass Scheme
arXiv:1909.10511
Abstract
Mesons containing light and heavy quarks are studied. Interaction of quarks is described by the funnel-type potential with the distant dependent strong coupling, . Free particle hypothesis for the bound state is developed: quark and antiquark move as free particles in of the bound system. Relativistic two-body wave equation with position dependent particle masses is used to describe the flavored systems. Solution of the equation for the system in the form of a~standing wave is given. Interpolating complex-mass formula for two exact asymptotic eigenmass expressions is obtained. Mass spectra for some leading-state flavored mesons are calculated.
12 pages, 2 tables, Presented at NONLINEAR PHENOMENA IN COMPLEX SYSTEMS, XXVI International Seminar, Chaos, Fractals, Phase Transitions, Self-organization,May 21--24, 2019, Minsk, Belarus. arXiv admin note: text overlap with arXiv:1712.02641, arXiv:1703.07766