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Three-boson relativistic bound states with zero-range interaction

Nuclear Theory 2009-11-07 v1 High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics

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.

Keywords

Cite

@article{arxiv.nucl-th/0207073,
  title  = {Three-boson relativistic bound states with zero-range interaction},
  author = {J. Carbonell and V. A. Karmanov},
  journal= {arXiv preprint arXiv:nucl-th/0207073},
  year   = {2009}
}

Comments

7 pages, 4 figures