High Energy Particle Physics


A Microscopic Theory of the Neutron (I)

Authors: J.X. Zheng-Johansson

A microscopic theory of the neutron, which consists in a neutron model constructed based on key relevant experimental observations, and the first principles solutions for the basic properties of the model neutron, is proposed within a framework consistent with the Standard Model. The neutron is composed of an electron e and a proton p that are separated at a distance r_1\sim 10^{-18} m, and are in relative orbital angular motion and Thomas precession highly relativistically, with their reduced mass moving along a quantised l=1th circular orbit of radius r_1 about their instantaneous mass centre. The associated rotational energy flux or vortex has an angular momentum (1/2)\hbar and is identifiable as a (confined) antineutrino. The particles e,p are attracted with one another predominantly by a central magnetic force produced as result of the particles' relative orbital, precessional and intrinsic angular motions. The interaction force (resembling the weak force), potential (resembling the Higgs' field), and a corresponding excitation Hamiltonian (H_I), among others, are derived based directly on first principles laws of electromagnetism, quantum mechanics and relativistic mechanics within a unified framework. In particular, the equation for (4/3)\pi r_1^3 H_I, which is directly comparable with the Fermi constant G_F, is predicted as G_F=(4/3)\pi r_1^3 H_I =A_o C_{01} /\ammag_e \gamma_p, where A_o=e^2 \hbar^2/12\pi\epsilon_0 m_e^0 m_p^0 c^2, m_e^0, m_p^0 are the e,p rest masses, C_{01} is a geometric factor, and \gamma_e, \gamma_p are the Lorentz factors. Quantitative solution for a stationary meta-stable neutron is found to exist at the extremal point r_{1m}=2.513 \times 10^{-18} m, at which the G_F is a minimum (whence the neutron lifetime is a maximum) and is equal to the experimental value. Solutions for the neutron spin (1/2), apparent magnetic moment, and the intermediate vector boson masses are also given in this paper.

Comments: 13 Pages. Presentation at the 30th Int Colloq on Group Theo. Meth in Phys, Ghent Univ, Belgium

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[v1] 2015-02-27 22:58:52

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