Pure Bound Field theory and the Decay of Moun in Meso-Atoms

Abstract

In the present paper we consider the electrically bound quantum particles within the framework of pure bound field theory (PBFT) (Kholmetskii, A.L., et al.: Phys. Scr. 82, 045301 (2010)), which explicitly takes into account the non-radiative nature of electromagnetic (EM) field generated by bound charges in the stationary energy states, and evokes the appropriate modifications of bound EM field, which secure the total momentum conservation law for the isolated system "electron plus nucleus" in the absence of EM radiation. Such a PBFT gives the same gross as well as fine structure of atomic energy levels, as those furnished by the common approach, but implies a scaling transformation of radial coordinates. In this paper we find out that in the classical limit this transformation reflects the dependence of time rate for the orbiting electron on the electric potential of the binding EM field in addition to relativistic dependence on its Lorentz factor. We show that this effect completely eliminates the available up to date discrepancy between calculated and experimental data on the decay rate of bound muon in meso-atoms. We emphasize that the revealed dependence of time rate of quantum electrically bound particles on the electric potential represents the specific effect of PBFT, and, in general, is not extended to the classical world.