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Critical stability of three-body relativistic bound states with zero-range interaction

V. A. Karmanov·J. Carbonell
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Abstract

For zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-body bound state is calculated. We have found that the three-body system exists only when M_2 is greater than a critical value M_c (approx. 1.43m for bosons and approx. 1.35m for fermions, 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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V. A. Karmanov, J. Carbonell. 2003-10-24. Critical stability of three-body relativistic bound states with zero-range interaction. https://doi.org/10.1007/s00601-004-0027-5

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