EFFECTIVE INTERACTION OF 3 RESONANTLY INTERACTING PARTICLES AND THE FORCE RANGE

The effect of the force range r0 on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction r0/R3 in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric 0+ three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.