In a paper that I just found, Roger A. Rydin wrote about possibility to construct a classical electromagnetic model of nuclear reactions.
His abstract goes as follows: "A comparison is made between the conventional way nuclear reactions were considered to take place circa 1960, and how they might take place using a new Classical electromagnetic model of the nucleus proposed by Charles Lucas. The old analysis used an analytic model of a compound nucleus and the linear Schrödinger wave equation to predict reaction cross sections by treating the wave solutions as quantum mechanical
probabilities. Actual experimental data had to be inserted into the equation to get the response for each case."
One interesting discussion in this paper that i do not found elsewhere is that Rydin proposes a vibration model of nucleus using matrix equation. But I find that his matrix model is too complicated. Some other questions:
a. Can we simplify the matrix model to become 2x2 or 3x3 matrix?
b. Can we explain the sub barrier fusion through Coulomb barrier?
c. How to explain recent experimental data with quarks etc. using this matrix model?
So what do you think? Is it possible to come up with a vibrational model of nucleus? Your comments are welcome.