Stability of the 2+2 fermionic system with point interactions Journal Article

Author(s): Moser, Thomas; Seiringer, Robert
Article Title: Stability of the 2+2 fermionic system with point interactions
Affiliation IST Austria
Abstract: We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.
Keywords: Stability; Scattering length; Point interactions; Thomas effect
Journal Title: Mathematical Physics Analysis and Geometry
Volume: 21
Issue 3
ISSN: 13850172
Publisher: Springer  
Date Published: 2018-07-23
Start Page: Article number: 19
DOI: 10.1007/s11040-018-9275-3
Notes: Financial support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27, is gratefully acknowledged.
Open access: yes (OA journal)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
  2. Thomas Moser
    6 Moser
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