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Now, the numerical integration works, nicely.
The next step is to make the derivation clear enough to include all factors of \( α \) etc.
Clean up derivation, write down results
We should clean up the derivation, having a clear final expression.
Then, do the numerical calculation, and register the results.
Figure out if there are selection rules
There is no (simple) selection rules beyond what we have found
Is possibly nice to consider above and below the symmetry line for analytical solution, as the flavors of Xi are separated by that line