5. Riccardo C. Storti, Todd J. Desiato, Derivation of fundamental particle radii: Electron, proton, and neutron

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Volume 22: Pages 27-32, 2009

Derivation of fundamental particle radii: Electron, proton, and neutron

Riccardo C. Storti 1, Todd J. Desiato 1

1Delta Group Engineering, 2/19 Firth Street, Doncaster 3108, Melbourne, Victoria Australia

Experimental predictions are derived from first principles for the root-mean-square (RMS) charge radii of a free electron, proton, and neutron to high computational precision [0.0118 (fm), 0.8305±0.0001 fm and 0.8269 fm, respectively]. This places the derived value of the proton radius to within 0.38(%) of the average Simon and Hand predictions (0.8335 fm), arguably the two most precise and widely cited references since the 1960s. Most importantly, the SELEX Collaboration has experimentally verified the proton radius prediction derived herein to extremely high precision as being [√[0.69 fm2]=0.8307 fm]. The derived value of electron radius compares favorably to results obtained in high-energy scattering experiments (0.01 fm) as reported by Milonni et al. It is also illustrated that a change in electron mass of =+0.04(%) accompanies the high-energy scattering measurements. This suggests that the electron radius depends on the manner in which it is measured and the energy absorbed by the electron during the measuring process. The fine structure constant is also derived, to within 0.026 % of its National Institute of Standards and Technology (NIST) value, utilizing the electron and proton radii construct herein. In addition, it is also illustrated that the terminating gravitational spectral frequency for each particle, as described previously by Storti et al., may be expressed simply in terms of Compton frequencies.

Keywords: Charge Radii, Electron, Neutron, Proton

Received: December 28, 2006; Accepted: December 7, 2008; Published Online: February 25, 2009