fredag 13 juni 2025

Update Fusion of 2H into 4He by RealQM

RealQM offers a new model of an atomic nucleus as a kernel of negative charge density surrounded by a shell structure positive charge density, as an analog of an atom with roles of protons (p) and electrons (e) switched. 

The model is parameter-free up to the change of scale from atoms to nuclei S and the radius of the kernel of the nucleus R, which can be used to fit the model to observations. Let us use this option to compute the binding energies E of the two basic nuclei of 2H (1e+2p) and 4He (2e+4p) by RealQM  using this code. We get the following results with a change of scale from atom to nucleus $S=2.5\times 10^{-6}$ with the size of an atom $10^{-10}$ m 

  • 4He  E = 27 MeV,  R = 0 
  • 2H    E = 2 MeV,  R = $2.5\times 10^{-17}$ m
We thus see that using the scale factor S we can fit E for 4He to observed 28.30 MeV and then using R to fit E with 2H. 

RealQM then offers a model of the fusion of two 2H into one 4He as the basic fusion process in the Sun with an energy release of 27-4 =23 MeV: 

Note that the atom analog of 2H nucleus is $H^-$ atomic ion, while the atom analog of 4He nucleus would be the ion $He^{-2}$, which is not stable. The 4He thus has 4 protons in a first shell, while the $He$ atom has no room for 4 electrons. 

The RealQM model for both atom and nucleus can be seen as the result of a shell packing problem, and thus comes with different shell structures. In an atom the first shell cannot contain more than two electrons, while in a nucleus the first shell appears to be able to hold up to 8 protons, thus with denser packing in a nucleus than in an atom. 



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