Hadronization via gravitational confinement of fast neutrinos: Mechanics at fm distances

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Department of Mechanical Engineering-Engineering Mechanics


We present a summary of the rotating Lepton model (RLM) of composite particles which is a Bohr-type model using gravity rather than electrostatic attraction as the centripetal force and examines the formation of hadrons via the rotational motion of three gravitating relativistic neutrinos. Model solution via the use of Special or General relativity and of the de Broglie wavelength equation shows that the three neutrinos can get confined in circular orbits of fm radii with velocities extremely close to the speed of light. The computed Lorentz factor (Formula presented.) is (Formula presented.) which, via energy conversation, implies that the mass of the composite particle (e.g., of a neutron) is a factor of γ larger than the rest mass of the three rotating neutrinos (∼0.14 eV/c2), and equal (within 1%) with the experimental neutron mass value (∼ 939 MeV/c2). The computed rotational radius (0.63 fm) is also in quantitative agreement with the experimental value. The application of the RLM to compute the masses of heavier composite particles, such as hadrons, bosons and mesons is then briefly oulined, together with its use to compute the masses of neutrinos from hadron masses and to relate the Strong and Weak nuclear forces with relativistic gravity.

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ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik