Mass Spectra of Quarkonium in Relativistic Independent Quarks

S. Behera | S. Panda

Abstract: Quarkonium is a flavorless meson comprised of quarks (c,b) and their antiquarks (c ?,b ?), while Positronium (Ps) is made of electrons and their antiparticles (positrons). Positronium will be composed of two fermionic particles. Like quarkonia, the system's total spin links to a singlet (s = 0) and a triplet (s = 1) state. In this work, we look at the mass spectra of quarkonium in a relativistic square root potential model. We employed two-body Dirac equations to examine relativistic quarks' mass spectra in meson-bound states. At low energies, the spectra of quarkonium are similar to those of Positronium. In both cases, the analogy breaks down either by its parts being destroyed or by the electromagnetic shift. The only thing that makes quarkonium and Positronium different is the basic forces that hold them together. Positronium is only kept together by electromagnetic force, which comprises two leptons with no color. At the same time, quarkonium is attracted to electromagnetic fields and has a color force that is much stronger and governs the potential. Lastly, we compare the spectra of quarkonium and Positronium to show their similarities and differences.

Keywords: Quarkonium, mass spectra, similarities and differences

Edition: Volume 9 Issue 9, September 2020,

Pages: 1593 - 1597