Calculation of LEPTONS in a Basic Bound State Theory

based on first principles: all parameters of the model are constrained by severe boundary conditions on geometry, energy-momentum conservation and other relations.

Ref. H.P. Morsch, Journal of Advances in Mathematics and Comp. Science 28(3): 1-13 (2018) (open access); H.P. Morsch, "Lepton bound state theory based on first principles" Journal of Advances in Mathematics and Comp. Science 36(3): 118-131 (2021) (open access); or contact h.p.morsch@gmx.de.

Calculation of fermion and boson binding energies, radii, and momenta of leptons (electron, muon or tau) using a fortran code, which can be inspected by "view source code". The parameters are: slope b and rotation velocity (v/c) parameter, constrained to fulfill energy and momentum conservation. Further, the shape parameter κ=1.375 and coupling constant α=2.158 are the same for all systems:
Electric Bindingb [fm] (v/c) Magnetic Bindingb [fm](v/c)
ELECTRON8.845e2
1
ELECTRON2.10e-102.37e-13
MUON4.2834
1
MUON3.90e-69.106e-7
TAU0.2547
1
TAU9.60e-33.77e-2
ELECTRON MUON TAU