Stability of the 2+2 fermionic system with point interactions

T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).

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Journal Article | Published | English
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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
2018-07-23
Journal Title
Mathematical Physics Analysis and Geometry
Acknowledgement
Open access funding provided by Austrian Science Fund (FWF).
Volume
21
Issue
19
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Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(19). doi:10.1007/s11040-018-9275-3
Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry, 21(19). https://doi.org/10.1007/s11040-018-9275-3
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry 21, no. 19 (2018). https://doi.org/10.1007/s11040-018-9275-3.
T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 19, 2018.
Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(19).
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
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