Three-boson relativistic bound states with zero-range interaction
J. Carbonell, V. A. Karmanov
Abstract
For the zero-range interaction providing a given mass M2 of the two-body bound state, the mass M3 of the relativistic three-boson state is calculated. We have found that the three-body system exists only when M2 is greater than a critical value Mc approximately 1.43 m (m is the constituent mass). For M2=Mc the mass M3 turns into zero and for M2<Mc there is no solution with real value of M3.
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