Applications of Two Body Dirac Equations to Hadron and Positronium Spectroscopy

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 theoretical 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.

The Quantum Chromodynamics Gas Density Drop and the General Theory of Relativity Ether

“…The impact of clustering inside exotic tetraquarks was studied by Sazdjian [10] concluding that a weakly bound compact two mesons Van-der-waals moleculelike structure is energetically favorable for the exotic meson comparing to two separate mesons [11]. We propose that the uddu   exotic meson may condense into a new strongly bound peculiar positronium/quarkonium state introduced by Crater and Wong's Two Body Dirac Equation (TBDE) approximate solution [12] [13]. The peculiar positronium binding energy is about 300,000 times bigger than the more familiar positronium hydrogen-like solution having a binding energy of about only 6 eV.…”