Antisymmetry in Strangeness −1 and −2 Three-Baryon Systems

Abstract.

 Using the generalized Pauli principle by adding particle labels to the usual space and spin labels a symmetric Hamiltonian and a corresponding antisymmetric wave function are constructed for systems of three baryons in the strangeness sectors S = −1 and −2. Applications are the ΞNN-ΛΛN and NNΛ-NNΣ systems. Minimal sets of generalized coupled Faddeev equations for breakup and rearrangement operators as well as (possible) bound states are derived that have the ordinary Pauli principle for identical particles built in. The equations found confirm our previous sets of coupled Faddeev equations whose derivation was made for distinguishable particles and not using the generalized Pauli principle.