Differential forms and nuclear structure

Abstract

The solution of a set of Schrodinger’s equation can be considered from the point of view of integration of differential forms over simplices in higher dimensional differentiable manifolds. In this way, the problems of nuclear structure are transferred from conjecturing potential wells and nuclear models to one of integration using the appropriate simplices. Using this approach, it is shown that without any reference to physical models it is possible to obtain the neutron-proton ratio of stable spinless nuclei their coulomb and binding energies, which is in good agreement with that obtained by experiment. It is also shown from the nature of the solution that a nucleus consists of only two types of particles, one having an energy of the coulomb type and the other neutral. Possible extension to the theory for nuclear systems having spin is also discussed.