måndag 9 juni 2025

Mystery of Nuclear Physics: StdQM vs RealQM

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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