中文

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

核理论 2009-11-10 v1 高能物理 - 唯象学 高能物理 - 理论

摘要

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.

引用

@article{arxiv.nucl-th/0310064,
  title  = {Critical stability of three-body relativistic bound states with zero-range interaction},
  author = {V. A. Karmanov and J. Carbonell},
  journal= {arXiv preprint arXiv:nucl-th/0310064},
  year   = {2009}
}

备注

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