Magic numbers and elementary particles

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This thread is not to be here (it is not speculative, nor it proposes any alternate theory, not it gives hints about building one). It was moved from "nuclei & particles". I have tryed to delete it, but the system does not let me to do it.

In any case, the preprint is already out, it can be read at


I have plotted some graphs to show an stange coincidence I found this month, while playing with nuclear masses. [Broken]

Basically, I wrote the mass of known elementary particles in uma, and then I ploted them over the nuclei tables. It happens then that the top quark is very near of the double magic number of Lead, and the mass of W and Z are very near of the first double magic number of Tin.

How near? Well, here one must recall that the magic numbers greater than 40 are produced because some subshells are sunk, via spin orbit+phenomenological input, into lower shells. If we plot the subshells involved, we will get rectangles in the Neutron/Proton plot. The mass of the "topium" particles is *exactly* in the diagonal of N 7i 13/2 and P 6h11/2. The particles W and Z are inside the square N5g9/2 P5g9/2, at about the same distance of its diagonal.

What about the extant doubly magic number, the second one in the Tin region? Well, you guess...

Yep, it is the 115 GeV area. But caveat here. First the Higgs is an scalar, thus no motivation to look for spin 1 couplings as in the case of the top-antiup, top-antidown, etc... Second, the rectangle for the subshells is very elongated in this area, due to competition in the neutron levels. One can not see why the right side of the rectangle should be preferred to the left side.

For the W-Z connumdrum, it is interesting to note that the FRDM mass model presents huge errors just outside of the square, following the lines of these particles.

take a look to the page. I do not know of any collective effect able to justify this, but the N-P plot is impressive enough to keep one thinking for a couple of days.
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