Volume 111, Number 1, July 2015
|Number of page(s)||6|
|Published online||23 July 2015|
Energy lower bound for the unitary N + 1 fermionic model
1 Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre - L.go San L. Murialdo 1, 00146 Roma, Italy
2 Facoltà di Ingegneria, Università Telematica Internazionale Uninettuno - C.so V. Emanuele II 39, 00186 Roma, Italy
3 Dipartimento di Matematica, “Sapienza” Università di Roma - P.le A. Moro 5, 00185 Roma, Italy
Received: 25 February 2015
Accepted: 26 June 2015
We consider the stability problem for a unitary N + 1 fermionic model, i.e., a system of N identical fermions interacting via zero-range interactions with a different particle, in the case of infinite two-body scattering length. Starting from the two-body boundary condition, we construct an explicit expression for the expectation value of the energy. Then we investigate its boundedness from below and exhibit a sufficient condition on the mass ratio, which guarantees the stability of the model.
PACS: 03.75.Ss – Degenerate Fermi gases / 05.30.Fk – Fermion systems and electron gas / 67.85.-d – Ultracold gases, trapped gases
© EPLA, 2015
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