M. Sachs, THE NEUTRON-PROTON MASS DIFFERENCE FROM A COMPOSITE NEUTRON MODEL, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 109(12), 1996, pp. 1641-1644
The author's previous results in general relativity about the neutron
as a composite (p(+)-Phi(a)(p(+)-p(-))-e(-)), having yielded the corre
ct order of magnitude of the binding energy of this composite neutron
as well as the magnitude and sign of the magnetic moment, is applied h
ere to the problem of the neutron-proton mass difference. Following fr
om the expression for the inertial mass as a function of <<spin-affine
-connection>> (a geometrical curvature field for the <<pairs>> in the
neighborhood of any observed elementary particle), the estimate follow
s that the neutron-proton mass difference should be the order of magni
tude of 3m(e) similar or equal to 1.5 MeV, where m(e) is the electron
mass. The empirical value for this mass difference is the order of 1.3
MeV. While the agreement is not exact, the author feels that it is cl
ose enough (in view of the approximations used) to not rule out the co
mposite neutron model of this theory.