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

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

2003-10-24

arxiv.org/abs/nucl-th/0310064v1

Few Body Syst. 34 (2004) 85-90

Physics

Nuclear Physics

Nuclear Theory

6 pages, 3 figures. Contribution to the workshop "Critical Stability-III", 1-6 Sept. 2003, Trento, Italy. To be published in "

Scientific paper

10.1007/s00601-004-0027-5

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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