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Using the CKM matrix and the feynman diagrams for both decays, I reach the conclusion that the Ratio is exactly 1. However, consulting this document,

http://pdg.lbl.gov/2012/tables/rpp2012-tab-baryons-Lambda.pdf

We clearly see it is not. I do not understand where the problem lies.

My reasoning is the following:

- The decays are exactly the same, except for the final arrangement of the quarks

- Since the vertices are the same, the probability of each interaction is the same in both cases.

- Since the probabilities are the same, the interaction rates are the same.

- Since the mass of the products is roughly equal in both cases, the density of final states is the same

- The cross section is the same.