The sign change in the expression for force density implies that the force between ψ at a distance aψ, and the center is attractive. Beyond aψ the force is repulsive but very small. (cf the post "Flux It,")
It does not matter where the mass of the electron is, at the center or at aψ.
There is no need for a nucleus!
A number of electrons can be in parallel orbits and they are mutually attracted to each other by magnetic forces.
Electronic atoms have no nucleus! Mass/anti-mass atoms may have a nucleus. (cf. post "Anti-Mass, Don't Gather Here Please")
