Stability of the 2+2 fermionic system with point interactions

Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.

Download
OA 2018_MathPhysics_Moser.pdf 496.97 KB [Published Version]

Journal Article | Published | English

Scopus indexed
Department
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
ISSN
eISSN
IST-REx-ID
154

Cite this

Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). 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. Springer. 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. Springer, 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. 3. Springer, 2018.
Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
File Name
Access Level
OA Open Access
Date Uploaded
2018-12-17
MD5 Checksum
411c4db5700d7297c9cd8ebc5dd29091


Material in ISTA:
Dissertation containing ISTA record

Export

Marked Publications

Open Data ISTA Research Explorer

Web of Science

View record in Web of Science®

Search this title in

Google Scholar