On Mass Polarization Effect in Three-Body Nuclear Systems

The mass polarization effect is considered for different three-body nuclear AAB systems having a strongly bound AB and unbound AA subsystems. We employ the Faddeev equations for calculations and the Schrodinger equation for analysis of the contribution of the mass polarization term of the kinetic-energy operator. For a three-boson system the mass polarization effect is determined by the difference of the doubled binding energy of the AB subsystem 2E(2) and the three-body binding energy E-3(V-AA = 0) when the interaction between the identical particles is omitted. In this case: vertical bar E-3(V-AA = 0)vertical bar > 2 vertical bar E-2 vertical bar. In the case of a system complicated by isospins(spins), such as the kaonic clusters K- K- p and ppK(-), a similar evaluation is impossible. For these systems it is found that vertical bar E-3(V-AA = 0)vertical bar < 2 vertical bar E-2 vertical bar. A model with an AB potential averaged over spin(isospin) variables transforms the latter case to the first one. The mass polarization effect calculated within this model is essential for the kaonic clusters. In addition we have obtained the relation vertical bar E-3 vertical bar <= vertical bar 2E(2)vertical bar for the binding energy of the kaonic clusters.