Stability of the 2+2 fermionic system with point interactions
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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.
Publishing Year
Date Published
2018-09-01
Journal Title
Mathematical Physics Analysis and Geometry
Publisher
Springer
Acknowledgement
Open access funding provided by Austrian Science Fund (FWF).
Volume
21
Issue
3
Article Number
19
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2018-12-17
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