DOC: investigate Λc→pπK polarimetry

[redeboer]

The resulting TR-021 can be viewed here.

To-do list

• Express amplitude with SymPy
  • Aligned amplitude expression
  • Unaligned amplitude expressions
  • Helicity coupling values
  • Angular momenta
  • Dynamics
  • Zeta and theta to Mandestam
  • Polarization sensitivity
  • Polarization sensitivity per channel
  • More resonances (K0(1430), Lambda**, Delta**), coupling per resonance, lineshape per resonance
  • Implement LS-scheme
• Computations and visualization
  • Convert to computational functions in TensorWaves
  • Visualize intensity distribution
  • Visualize polarization sensitivity
  • Compute fractions and interferences for the chains
  • Make visualizations interactive
  • Make coupling sliders rather that masses and widths
  • Validate the z/x oscillation for Delta and Lambda chains
  • Remove decay coupling sliders
  • Phase space in Dalitz plot (Kibble function etc.)
  • Fit fractions for specific resonances
  • Add the unpolarizard intensity and |alpha| plots to the visualization
  • Plot vector field DOC: investigate Λc→pπK polarimetry #129 (comment)
• Write variables with Greek letters (not cool in a codebase, fine in this notebook)
• Write report around code cells
  • Port text from overleaf
  • Literature review:
    • review theoretical papers on the asymmetry alpha (via references on references)
    • review measurements of alpha (go through ground-state baryons on PDG)
  • Add derivation of master intensity formula Eq. (9)
  • Add drawings for angle definition
  • Complete the proofs of α properties
• Create interactive quiver plot
• Update text with recent insights from LHCb-PAPER-2022-044

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[redeboer]

@mmikhasenko, some generic install instructions are available here:
https://compwa-org.readthedocs.io/develop.html#local-set-up
Additional dependencies will be installed once you run the notebook itself.

[mmikhasenko]

Concerning the angles, zeta, theta. Latex expression is in the DPD paper (see Appendix A)

A general code is in here

[redeboer]

Nice! Is this with the existing code or Julia?
As you said, with matplotlib, it's probably quiver().

[mmikhasenko]

it is with Julia
Next time we look at the alphax, and alphay, we should have a better feeling.

[mmikhasenko]

Btw, what's missing to get it merged?

[redeboer]

Quiver plot, probably #129 (comment). But I should also review the code and text because we got quite a few new insights since.

[redeboer]

This TR is also meant more as an investigation into behaviour of the field. In that sense, it may be really interesting to have an interactive quiver plot, whether you an see the effect of parameter changes, like shifting a mass.