Classical Physics


The Nuclear Force and Limitations to the Lorentz Electrostatic Force Equation

Authors: Michael Singer

In Electromagnetic Field Theory it is the interaction of distributed electrostatic fields that leads to the forces between charged particles. The field of an electron spreads across all space, so the interaction between two electrons covers all of space. If we calculate the point energy densities of the interaction between these two electrons and sum them over all space, then differentiate it with respect to separation to get the force, it is no surprise that we end up with the electrostatic component of the Lorentz Force Equation. An interesting part of the interaction is that not only do the two electrons have field lines that are broadly aligned and thus create increased energy densities and repulsive forces, but there is a region between the two electrons where the field lines oppose each other, reducing the energy density and giving rise to attractive forces. With the electron – whose field extends to infinity – the repulsive forces dominate at all separations. But now consider the neutron whose electric field is bounded at a miniscule radius. There are obviously no forces between two neutrons outside twice the radius as there is no overlap in the fields. As they close there is a limited range over which the repulsive forces are not in play and the attractive region dominates. This leads to an attractive force between neutrons for separations of two and one times the radius, inside of which repulsive forces finally take over.

Comments: 16 Pages.

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Submission history

[v1] 2018-03-21 08:56:10

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