Masses of Nucleons based on Their Size.

This paper is very speculative. The neutron mass predicted by one calculation is 7% off from the other calculation, and that is a lot, but it’s close enough to believe it’s not totally coincidence. The similar mass of protons to neutrons also remains a mystery.

What factors determine the sizes and masses of neutrons and protons? The mass of an electron is determined by the energy equivalent of its charge. That is, when an electron and positron interact, the energy released = . The size of a hydrogen atom is determined by the wavelength of its electron, which in turn is determined by Planck’s Constant, h, and the mass and charge of the electron:

 

The velocity of the electron in a hydrogen atom is determined by its charge, and Planck’s Constant:

 

As stated previously, the electron mass is determined by the potential energy of the charge.

If the size of a hydrogen atom is determined by its electron wavelength, could the size of a neutron be determined by its "electron" wavelength?

That is, if for an atom, could it be that for a neutron?

For a neutron,  

This is equivalent to saying that the size of a neutron is the same as the wavelength of its mass equivalent.

 

 

 

This is about the size of a neutron!

Now, with Planck’s Constant and the speed of light constant, the size and the mass of the neutron are inversely proportional to each other. So what "fixes" either the size (wavelength) or mass of the neutron to be what it is?

Could it be that the size is fixed by the closest approach that two oppositely charged particles can approach each other?

For an electron, So, in a hydrogen atom.

In positronium, V becomes c. So, for an electron and for positronium itself (because electrons and positrons have equal masses).

=  

So, the size of positronium is similar, but not identical to the wavelength of the mass equivalent of the neutron .

Numbers this close suggest a connection. However, should we really predict that an electron orbiting a positron should be exactly the same size as an electron orbiting a proton when:

  1. The proton and positron have different structures?
  2. There are probably different general relativistic mass effects due to different accelerations due to different masses?


Return to Home Page

Content of this paper may be freely used so long as credit is given to the author, Brian Stedjee

First publication date: September, 2003