Hydrodynamic models of the structure of atomic nuclei

The principal building block of the atomic nucleus is the deuteron which is formed by the addition of a neutron to a proton with both spin vectors parallel and directed along the line of centers, which is also the axis of a linear vortex in a primordial ideal fluid filling all space as postulated by the hydrodynamic theory of particles and fields previously published in this journal. Two deuterons with opposite spin vectors lying on the same axis can combine to form an alpha particle (helium nucleus). Many nuclei consist of compact clusters of alpha particles with parallel axes giving rise to atomic mass numbers divisible by 4, which are called magic numbers because these nuclei are unusually stable and abundant. There is a repulsive magnetic force and a repulsive Magnus force between deuterons with spin vectors parallel and orthogonal to the line of centers, but when the spin vectors are antiparallel there is an attractive magnetic force and an attractive Magnus force between the deuterons. As a result deuterons tend to assemble into flat layers with deuterons located at the vertices of concentric polygons with odd numbers of sides (3, 5, 7, etc.) centered on a single deuteron on an axis of rotational symmetry. A similar layer of deuterons with opposite spin vectors will be located beneath the first layer to give a sequence of nested polygons with alpha particles at the vertices.