Abstract
The Faddeev equations are solved to investigate the bound states of three-body systems with short-range two-body interactions. Different bound 0+ excited states are obtained depending on the mass ratios of particles, when there is no bound state for two-body sub-systems. On the one hand, a number of bound 0+ excited states appear in the system with two heavy particles and a light particle. On the other hand, a weakly bound 0+ excited state is obtained in the system with two light particles and a heavy particle, which has not been reported in previous works as far as we know.
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