Observables

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A couple of words about Axx and how to measure it:

1.png

with an absolute systematic uncertainty estimated from,

2.png


3.png


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To obtain tensor polarization by optimizing vector polarization we expect a tensor polarization of Pzz=2-(4-3P2)1/2 assuming a Boltzman distribution at thermal equilibrium.
5.png But not at thermal equilibrium under experiment (trying not to under estimate error)
Analytic relation not applicable for tensor Optimization (hole burning)

General limitations for all tensor polarized experiments to keep in mind:
1.) Ideal Pzz =2.5%-5%
2.) Vector Optimized Pzz =6.5%-12%
3.) Tensor Optimized Pzz =15%-25%
4.) Negative tensor polarization not yet achieved without hole burning (very unstable)