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Hi again folks. Been a long while. Some of you might remember my research concerning numerical patterns in atomic shell structure.

 

Recently I've begun finally analyzing patterns within the more complete model of the nucleus including spin-orbit and deformed potential well corrections to the Hamiltonian. Things are already starting to pop out, but it is slow going.

 

When the spin-orbit effect takes hold, the largest spin-split orbital partial's energy is reduced, because the spins align with the orbital motion. Its smaller sister's energy gets raised, since spins are antiparallel.

 

In any event, the energy values of the highest spin neutron pair within the largest orbital partial, mapped over deformation from the sphere (- being oblate and + being prolate ellipsoidal in shape), appears to be very nearly a straight line.

 

Interestingly, when taken together, all these nearly straight line 'component rays' appear to converge in the oblate part of the chart.

 

There are related behaviors happening in the prolate part as well.

 

Everybody ready to take the next ride?

 

Pascal

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