Computation of masses and binding energies of some hadrons and bosons according to the rotating lepton model and the relativistic Newton equation

[摘要] We compute analytically the masses, binding energies and hamiltonians of gravitationally bound Bohr-type states via the rotating relativistic lepton model which utilizes the de Broglie wavelength equation in conjunction with special relativity and Newton's relativistic gravitational law. The latter uses the inertial-gravitational masses, rather than the rest masses, of the rotating particles. The model also accounts for the electrostatic charge- induced dipole interactions between a central charged lepton, which is usually a positron, with the rotating relativistic lepton ring. We use three rotating relativistic neutrinos to model baryons, two rotating relativistic neutrinos to model mesons, and a rotating relativistic electron neutrino - positron (or electron) pair to model the W±bosons. It is found that gravitationally bound ground states comprising three relativistic neutrinos have masses in the baryon mass range (∼ 0.9 to 1 GeV/c2), while ground states comprising two neutrinos have masses in the meson mass range (∼ 0.4 to 0.8 GeV/c2). It is also found that the rest mass values of quarks are in good agreement with the heaviest neutrino mass value of 0.05 eV/c2and that the mass of W±bosons (∼ 81 GeV/c2) corresponds to the mass of a rotating gravitationally confined e±- vepair. A generalized expression is also derived for the gravitational potential energy of such relativistic Bohr-type structures.

[发布机构] LCEP, University of Patras, 1 Caratheodory St., Patras; GR 26504, Greece^1;Division of Natural Sciences, Academy of Athens, 28 Panepistimiou Ave., Athens; GR-10679, Greece^2;Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge; CB3 0WA, United Kingdom^3;Department of Electrical Engineering, University of Southern California, Los Angeles; CA; 90089-2560, United States^4

[效力级别] 数学

[关键词] De Broglie wavelength;Electrostatic charges;Gravitational law;Gravitational mass;Gravitational potential energy;Relativistic electron;Special relativity;Type structures