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Upper bounds for critical coupling constants for binding some quantum many-body systems

Quantum Physics 2025-06-13 v2

Abstract

When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bounds for critical coupling constants are computed for quantum nonrelativistic systems containing identical particles and systems containing identical particles plus a different one.

Keywords

Cite

@article{arxiv.2502.02616,
  title  = {Upper bounds for critical coupling constants for binding some quantum many-body systems},
  author = {Clara Tourbez and Claude Semay and Cyrille Chevalier},
  journal= {arXiv preprint arXiv:2502.02616},
  year   = {2025}
}

Comments

A new test with a large many-body system is added

R2 v1 2026-06-28T21:32:34.525Z