10.1007/s00220-017-2980-0
Moser, Thomas
Thomas
Moser
Seiringer, Robert
Robert
Seiringer
Stability of a fermionic N+1 particle system with point interactions
Springer
2017
2018-12-11T11:48:15Z
2020-01-21T13:22:15Z
journal_article
/record/741
/record/741.json
00103616
952639 bytes
application/pdf
We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.