Mass hierarchy of leptons and hadrons within the framework of electrodynamics

Structure of leptons and hadrons within the framework of electrodynamics is considered. Muon and tau-lepton have the structure of 3 electrons. The mass of muon is defined by the section of two-photon annihilation. The mass of tau-lepton is defined by the section of three-photon annihilation. Hadrons are characterized by the structure of 5 electrons. The masses of hadrons are defined via the masses of muon and tau-lepton. According to the standard theory, hadrons have the quark structure. Baryons consist of 3 quarks, mesons consist of the quark-antiquark pair. In the SU(2) × U(1) electroweak theory [1], masses of the fermions, leptons and quarks, arise due to the Yukawa interaction f(ψ̄LψRφ+ ψ̄RψLφ̄) (1) where the couplings f are different for each fermion. The standard theory do not define the couplings f and cannot explain the hierarchy of the leptons and quarks masses. To explain the mass hierarchy between lepton generations within the framework of electrodynamics it was proposed [2] to consider muon and tau-lepton as composite particles. It was assumed that muon and tau-lepton have the following structure μ− ≡ eee (2) τ− ≡ eee. (3) Muon arises due to the reaction e− + 2γ → eee, (4) and tau-lepton arises due to the reaction e− + 3γ → eee. (5) The mass of muon is defined by the cross section of two-photon annihilation mμ = h̄ r2γ = 70 MeV. (6) The experimental value is mμ = 106 MeV [3]. The mass of tau-lepton is defined by the cross section of three-photon annihilation mτ = h̄ r3γ = 2200 MeV. (7)