Particles of High Bessel Order : a new Candidate to Dark Matter Problem

In previous communications (Nibart & Dubois, 2006 ; 2008) we have enhanced quantum theory with the transversal distribution of plane waves associated to quanta, from a more general resolution of the differential wave equation which introduced a new quantum number : the Bessel order. In the communication (Nibart & Dubois, 2008) we have deduced several properties of the presence density of non-dimensionless particles and proposed some applications to Cosmology. In the present paper, we propose a solution to the dark matter problem, an explanation of the presence of antimatter in the Universe and we sketch a new concept of vacuum based on extremely high Bessel orders at the cosmological scale.