The Standard Model as part of Standard Quantum Mechanics StdQM delivers the following total binding energie E in MeV with p proton and n neutron
- 2H 1p+1n E = -1.71
- 3H 1p+2n E = -7.97
- 3He 2p+1n E = -6.70
- 4He 2p+2n E = -28.30
The large jump of more than 20 MeV by adding 1 neutron to 3He into 4He is viewed as very remarkable asking for an elaborate explanation in terms of the strong force within StdQM boiling down to 4He having a "doubly magic" number of protons and neutrons.
RealQM delivers the following energies (with atom to nucleus size scaling set to $10^6$) and shell configuration indicated:
- 2H 1p+1n E= -0.5 1st shell: 2
- 3H 1p+2n E = -2.7 1st shell: 1 2nd shell: 2
- 3He 2p+1n E = -0.5 1st shell: 2 2nd shell: 1
- 4He 2p+2n E = -2.5 1st shell: 2 2nd shell: 2
We see in RealQM the same large jumps from 2H to 3H and from 3He to 4He with roughly a factor 5 as in StdQM. This can in RealQM be understood from the fact that adding 1 neutron doubles the central negative charge density and so doubles the negative potential.
RealQM thus captures a basic feature of StdQM in particular the "magic number" of 4He, which thus after all may not be so magic.
But there is a notable difference in the change from 3H to 3He by replacing a neutron by a proton. StdQM gives a small decrease of energy, while RealQM gives a much bigger decrease.
In RealQM this comes again from a decrease of central negative density.
In StdQM the strong force is the same and the only difference is the proton-proton repulsion in 3He claimed to be small compared to the strong force. Recall that energy is not directly measured but is computed from mass defect using $E=mc^2$, where mass defect is not directly measure but computed from measurements of proton and neutron mass. There is thus a lot computation involved which may not capture true physics. In any case it is strange that replacing a neutron by a proton has only marginal effect on energy.
Summary:
- RealQM offers a model of a nucleus with only Coulomb forces.
- StdQM offers a model of a nucleus with an additional new strong force.
- Ockham's Razor would select RealQM,
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