Speaker
Description
The structureless purely leptonic atoms are ideal for testing quantum electrodynamics (QED) and beyond the Standard Model theories (BSM). In recent years, Muonium (Mu) and Positronium (Ps) are considered prominent examples of leptonic atoms that are thoroughly being investigated towards the above aim. A non-relativistic description of leptonic systems provides a simplified quantum mechanical approach to such systems through the analytic solutions to the Schrödinger equation. Nonetheless, accurate theoretical predictions necessarily require the inclusion of relativistic corrections and fine structure terms in addition to corrections related to new interactions between the leptons of the exotic atoms. To this purpose, the relativistic description of the Dirac equation (which includes the particle’s spin) constitutes a more realistic and optimal approach to the problem. Furthermore, the energy correction terms of the Breit-Darwin type that describe additional interactions between the system's particles are also included in the discussion. One of our main goals in this work is to provide an advanced mathematical formulation of the Dirac equation involving Breit-Darwin terms in order to compute high-accuracy theoretical predictions for (i) the bound states of purely leptonic atoms like the Mu and Ps, (ii) as well as exotic (BSM) processes like the Muonium to anti-Muonium conversion.
