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On the electron to proton mass ratio and the proton structure
We derive an expression for the electron to nucleon mass ratio from a
reinterpreted lattice gauge theory Hamiltonian to describe interior baryon
dynamics. We use the classical electron radius as our fundamental length scale.
Based on expansions on trigonometric Slater determinants for a neutral state a
specific numerical result is found to be less than three percent off the
experimental value for the neutron. Via the exterior derivative on the Lie
group configuration space u(3) we derive approximate parameter free parton
distribution functions that compare rather well with those for the u and d
valence quarks of the proton.Comment: 5 pages, 4 figure
Effective nucleon-nucleon interactions and nuclear matter equation of state
Nuclear matter equations of state based on Skyrme, Myers-Swiatecki and
Tondeur interactions are written as polynomials of the cubic root of density,
with coefficients that are functions of the relative neutron excess .
In the extrapolation toward states far away from the standard one, it is shown
that the asymmetry dependence of the critical point ()
depends on the model used. However, when the equations of state are fitted to
the same standard state, the value of is almost the same in Skyrme
and in Myers-Swiatecki interactions, while is much lower in Tondeur
interaction. Furthermore, does not depend sensitively on the choice
of the parameter in Skyrme interaction.Comment: 15 pages, 9 figure
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