Abstract
It is observed that a simple mass formula of the formm =¯mQ 2(expλ) is wholly consistent with experimental measurements and quark model estimates for all 12 fundamental fermions. Here¯m = 433.3 MeV is an input (mean fermion mass) constant,Q is the charge number of the lepton or quark, andλ is a real root of a quartic equation that brings in a principal quantum numbern (= 0, 1, 2, 3). The charged lepton masses are given accurately to within 0.3 of 1%, all neutrino masses are zero, and the top mass is predicted by the formula to be close tom t = 163.6 GeV.
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Rosen, G. Empirical lepton-quark mass formula: Four dimensional state space for fermion structure?. Int J Theor Phys 34, 31–36 (1995). https://doi.org/10.1007/BF00670984
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DOI: https://doi.org/10.1007/BF00670984