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Three-boson relativistic bound states with zero-range interaction

J. Carbonell·V. A. Karmanov
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Abstract

For the zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-boson state is calculated. We have found that the three-body system exists only when M_2 is greater than a critical value M_c approximately 1.43 m (m is the constituent mass). For M_2=M_c the mass M_3 turns into zero and for M_2<M_c there is no solution with real value of M_3.

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J. Carbonell, V. A. Karmanov. 2002-07-25. Three-boson relativistic bound states with zero-range interaction. https://doi.org/10.1103/physrevc.67.037001

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