Total branching ratio of the K- two-nucleon absorption in C-12

This work is a critical re-analysis of the results obtained by the AMADEUS collaboration, concerning the measurement of the K- multi-nucleon absorption reactions, on a C-12 target, in the.p final state (Del Grande et al 2019 Eur. Phys. J. C 79, 190). We show that a good estimate of the K- two-nucleon absorption total branching ratio can be extracted, given that the measured final state interactions and conversion reactions contain information on almost all the remaining hyperon-nucleon final state combinations. The main contribution to the total branching ratio of the K- two-nucleon absorption in Carbon is extracted from the measured ratios and is found to be (16.1 +/- 2.9 stat.)(-5.5)(+4.3) (syst.)) %, ,which is in agreement with recent theoretical predictions. The missing contribution, from those few channels for which a Lambda p pair could not be detected in the final state of the interaction, is also estimated combining both the measured branching ratios and the available theoretical information, and amounts to (5.5 +/- 0.1 (stat.)(-0.9)(+1.0) (syst.))%. All together the total branching ratio of the K- two-nucleon absorption in Carbon is found to be (21.6 +/- 2.9 (stat.)(-5.6)(+4.4) (syst.)) %.