Applications of Two Body Dirac Equations to Hadron and Positronium Spectroscopy
Horace W. Crater, James Schiermeyer, Joshua Whitney, and Cheuk-Yin, Wong
TL;DR
This paper reviews the application of Two Body Dirac equations to meson and baryon spectroscopy, highlighting their unique features and recent solutions for positronium bound states.
Contribution
It introduces new extensions of the equations to three-body problems and discusses recent theoretical solutions for positronium states.
Findings
Successful application to meson and baryon spectra
Identification of unique features for QED bound states
Discovery of new peculiar positronium bound states
Abstract
We review recent applications of the Two Body Dirac equations of constraint dynamics to meson spectroscopy and describe new extensions to three-body problems in their use in the study of baryon spectroscopy. We outline unique aspects of these equations for QED bound states that distinguish them among the various other approaches to the relativistic two body problem. Finally we discuss recent theorectial solutions of new peculiar bound states for positronium arising from the Two Body Dirac equations of constraint dynamics, assuming point particles for the electron and the positron.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Nuclear physics research studies