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

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
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http://hal.in2p3.fr/in2p3-00021891
Contributor : Lpsc Bibliotheque <>
Submitted on : Monday, June 14, 2004 - 4:09:59 PM
Last modification on : Thursday, November 19, 2020 - 12:58:39 PM

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V.A. Karmanov, J. Carbonell. Critical stability of three-body relativistic bound states with zero-range interaction. Workshop on Dynamics and Structure of Critically Stable Quantum Few-Body Systems, Sep 2003, Trento, Italy. pp.85-90. ⟨in2p3-00021891⟩

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