A Particle Structure with Spatial Frequencies, and a Possible Hollow Mass

In our previous paper, plane waves of any free massive particle were described with a transversal distribution that is defined by a new quantum number, the Bessel order β, which shows the possibility of a hollow structure. The present paper will consider any free massive particle with spherical waves described by their radial distribution. The scale of different Bessel orders is defined and the properties and structure of the presence density are given. Then it is deduced that particles can have a hollow mass and can be made passive with an inefficient crosssection. Finally, an application to Cosmology is proposed and it is suggested that antimatter of extremely high Bessel orders, in galaxy bulge and in star nucleus, may be a solution to the three problems of galaxy stability, dark matter and antimatter in the Universe.