A Quantum Electromagnetic Theory of the Pions, Muons and Their Emitting Particles (I)

Abstract

Abstract In direct accordance to the overall relevant experimental demonstrations, we represent the charged pion π- as a heavy electron h - in precessional-orbital (P-O) motion at essentially the light speed c about υ ¯ e -orbit of a normal at quantised angle π − θ1/2 = − arccos ( 1 / 3 ) to the z axis. h - is the level N = 1 oscillation of charge −e and its electromagnetic radiation originally generated in the weak potential field of another particle. The P-O kinetic energy current and two additional opposite ones created upon π- decay represent confined neutrinos υ ¯ e , υ ¯ μ , υ μ . The muon µ- is a xy-projected h - in two superposing P-O motions along υ ¯ e − , υ μ - orbits of normals at angles π − θ1/2, θ1/2 to z. The µ- (rest) mass is a geometric projection of the reduced π- mass, M μ = ( M π − M υ μ ) cos θ 1 / 2 = 105.86 MeV . The µ- mass is fundamentally predetermined by the mixed two states ml = −1, +1 of level n = 2 of a double heavy positronium in the CM frame produced in a relativistic e -, e + collision, and is ab initio predicted to be M μ − = ( 3 4 2 α + 1 ) M e = 105.549 MeV , where α = e 2 / 4 π ∈ 0 ℏ c . The un-projected n = 2 level gives the bound π- mass containing a friction term O η , M π + O η = ( 2 α + 1 ) M e = 140.525 MeV . Their antiparticles π+, µ+ and the tauons τ∓ can be similarly represented. The remaining unstable elementary particles can be constructed as composites of two or more single charged ones in certain spatial quantised P-O motions.