Anomalous Spin-Spin Correlation

You can read more on the anomalous \(A_{NN}\) spin-spin correlation from here (chapter 3). What’s up with that? Well, a lot, at least for TOEBI. Based on the experiments I can claim that proton annihilations in mass scale can’t be done with proton beams. Most likely same applies to electron beams. Therefore the only viable option is the experiment (solid hydrogen based) described earlier. In future, I’ll keep on pitching on that experiment.

But what happens in case of that anomalous spin-spin correlation? From TOEBI’s point of view (PoV) things appear more clear than from QCD PoV. What prevents annihilation of colliding protons? In order to annihilate, colliding protons must gain close enough proximity, their spins must be antiparallel (normal to beam) with precision approach. How easy it that with proton beams? Not that easy for sure, firstly, getting perfectly polarized beams is next to impossible. Spin vectors (TOEBI defined) are not necessarily precisely aligned and even smallest deviation generates something else than pion production what we are looking for.

Protons moving near the speed of light has gained also increased spinning frequency (\(\approx 1.5\) times the rest spinning frequency). Increased spinning frequency means that those three electrons (constructing proton) generate bigger FTEP flux around them, in other words, a bigger buffer between them and another particle(s). Increased buffer protects proton from too easy annihilation process in case of collision.

If proton spins are parallel then elastic scattering happens normally (with proper energy scale) as expected by TOEBI or QCD, if spins are antiparallel things go more complicated. Why’s that? Antiparallel spins mean that contacting protons’ electrons are physically spinning into opposite directions.

Antiparallel spins
Transverse Antiparallel Spin Polarizations

At close proximity these into opposite directions spinning electrons interact more massively than into same direction spinning electrons. When electrons spin into same direction generated FTEP (Force Transfer Ether Particle, the smallest particle) flux flows into same direction also, hence those interacting electrons scatter more easily away from each other. In case of opposite spinning directions (see picture), generated FTEP flux starts to build up between interacting electrons, which then causes more easily these electrons to change their spinning orientations towards (more dense local FTE) incoming particle, resulting inelastic collision (new particles are created by compressing FTEPs together, read more from TOEBI).

Asymmetry between the number of elastic scatterings between parallel and antiparallel spins is roughly 4:1 which is enormous amount and QCD is totally clueless about it. Can we derive that ratio from TOEBI? Good question… Let’s say that almost every encounter between parallel spin protons experience elastic scattering and let’s assume that protons with antiparallel spins experience inelastic scattering when at least one of their electrons collide heads on. Let’s start counting…

Possible Collision Variations
Possible Collision Variations

We can find four different collision types. Those black balls in the picture remarks exactly intersecting colliding proton electrons (which in case of antiparallel spins means inelastic collision). When all three proton electrons hit head on, no matter what their spin directions are, there will be inelastic collision. Conclusion, for every single inelastic scattering of parallel spin protons there is four inelastic scatterings of antiparallel spin protons (1:4), so trivially, there will be four elastic scatterings of parallel spin protons per one elastic scattering of antiparallel spin protons (4:1).

Conclusion: No anomalous correlation according to TOEBI.

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