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Light and Heavy Mesons in The Complex Mass Scheme

2019/09/21 by М. Н. Сергеенко, Sergeenko, Mikhail N. · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1909.10511

openalex publication_date 2019/09/21 · openalex created_date 2019/10/03 · openalex updated_date 2026/07/28

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, α_§(r). 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 Qq 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.

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