I wrote the paper with above title. I dare anyone to come up with a concrete model for nuclear structure that predicts (postdicts) the correct orbital angular momentum and parity for each nucleus - my paper does.
The model predicts that Na (11protons, 11neutrons) with Jp = 3+ will behave (chemically) like Ne (10,10) and it would be distinguishable from Ne (10, 12) by having a smaller mass. This depends on the extra dimensions existing so proving this Na acts like Ne would also prove the extra dimensions exist.
If someone come up with a model you got to find a way to have a small orbital angular momentum, even though there are a lot of neutrons in the nucleus.
My way of doing this is by putting the neutrons in the extra dimensions where they don't contribute orbital angular momentum or electromagnetic force or parity, but do contribute mass and spin.
The competing article: "Geometric Model of Atomic Nuclei." does not even compute orbital angular momentum. Their model for U(238) does not allow for small orbital angular momentum.
It looks like the strong force is not mediated by Pions but by gluons because a virtual Pion's range is computed as 10^(-15) m but the calculated radius of a nucleon in the L = 2 orbital in the R-layer = 10^(-12) m which is 10^3 times larger - beyond the range of a Pion.
I computed the radius from: L*h_bar = m_p*v*r with v = 10^7 m/s.
Looks like the speed in Carbon is 30 000 000 m/s, so I don't know where the error is.
The papers say the charge radius of a nucleus is 2-6 fm not 2 000 fm. I used only L = 2 as that of a nucleon so the computation is conceivably independent of the model. Presumably there are also L=2 nucleons in other models.
The Liquid Drop Model assumes nuclei are spherical. In that case you can't have cancelling orbital angular momentum. My model has counterrotating rings which can cancel OAM.
My model has a full s-type shell at Z = 20. Z = 50 also has a filled s-type shell. Just the magic number 28 does not correspond to a filled shell. Z = 8 corresponds to a shell filled for the smallest OAM (L = 1) in a p-type shell.
There must be some other (computational) reason for the 28 magic number.