Binding Energies of the Deuteron, the Neutron and the Alpha Particle from a Theoretical Geometric Model

Abstract

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the deuteron and the neutron. The corresponding Pauli quantum wave equation in a geometric theory, with the SU(2) electromagnetic coupling instead of the standard "minimal" coupling, contains a 1/r to-the-fourth-power, short-range attractive magnetic potential term. This term, produced by the odd part of the electromagnetic potential, may be responsible for a strong nuclear interaction. An approximation for the resultant wave equation leads to the modified Mathieu equation. Completely theoretical calculations give 2.205 Mev, 0.782 Mev and 27.6 Mev for the binding energies of the deuteron, the neutron and the alpha particle respectively. These values admit correction factors due to the approximations made.