Isospin effect in three-body kaonic-like systems

Abstract

The kaonic clusters K − K − p and ppK − are described based on the configuration space Faddeev equations for AAB system. The AB interaction is given by isospin-dependent potentials. For this isospin model, we show that the relation |E 3 (V AA = 0)| < 2 |E 2 | is satisfied when E 2 is the binding energy of the AB subsystem and E 3 (V AA = 0) is the three-body binding energy when interaction between identical particles is omitted, V AA = 0. For the N NK system, taking into account weak attraction of N N interaction the relation leads to the evaluation |E 3 | ≤ 2|E 2 |. The "isospinless model" for the kaonic clusters based on the isospin averaged NK potential demonstrates the opposite relation |E 3 (V AA = 0)| > 2 |E 2 |. The isospin "given charge formalism" is presented for N NK cluster. This formalism is related to isospin model by unitary transformation of the isospin basis. An interpretation of the "particle representation" for N NK system is proposed.