NNK and ΛΛ K Amplitudes in Chiral Perturbation Theory

We explore the S-wave and P-wave amplitudes for $NNK$ and $\Lambda\Lambda K$ interactions using chiral perturbation theory to ${\cal O}(m_s\log m_s)$. In contrast to the large corrections found in P-wave amplitudes in the nonleptonic decay of octet baryons, the $NNK$ amplitudes receive only small corrections to their tree-level values. The uncertainty in the $\Lambda\Lambda K$ amplitudes is found to be large.