The Exchange Force in a System of Three Non-identical Particles

We study the bosonic $K^0K^+K^-$ system by using the isospin independent nuclear potentials [1]. The $K^0K^+K^-$ represents $ACB$ or $AAB$ particle models with or without Coulomb potential. For the latter case if one neglects the $AA$ interaction, $V_{AA}$=0, the system can be described by the Faddeev equation as $(H_0+V_{AB}-E)W=-V_{AB}PW$, where P is the permutation operator. The term on the r. h. side of the equation is the exchange term, which has a clear physical interpretation (see, for example, [2]). This term adds negative energy to the two-body energy $E_2$ defined by the l. h. side of the equation and $E=E_3