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

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Vayenas, C.G.^1,2 ; Fokas, A.S.^3,4 ; Grigoriou, D.^1

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

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012080/pdf
DOI  :  10.1088/1742-6596/738/1/012080

来源: IOP

【 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.