V. Conclusion

The sun itself does not appear to have a significant effect on muon production. We therefore conclude muons are created primarily by extra-solar cosmic rays. If the sun creates any cosmic rays, these rays are not energetic enough to create muons when they hit the ionosphere.
We can determine the maximum energies of any cosmic ray protons emitted by the sun by considering the muon production reaction. Muons are created when a ¹- decays into a neutrino and a muon. Because pions are only created when a neutron and a proton combine according to the following equation,

we know that the kinetic energy of the proton must be equal to the mass energies of the sum of the pions by conservation of energy. Therefore, the total energy of the proton is equal to its kinetic energy (or the sum of the pion masses) plus the mass of the proton, given by:

This is the upper bound for the energy of protons produced by the sun. If the energy of the proton was greater, we would see muons created by solar proton radiation. We may then draw the conclusion that protons radiated by the solar wind have an energy that is at most 1352 MeV.
We also conclude that increases in sunspots do not consistently correlate with disturbances in the geomagnetic field. Effects on the geomagnetic field could be caused by an increase in UV radiation from the sun and/or an increase in charged particle radiation. If this charged particle radiation is proton radiation, we may subsequently conclude that these protons have the same upper energy bound as found in Equation 9 due to our solar-muon correlation.