Energy lower bound for the unitary N+1 fermionic model

Abstract

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. We present a slightly more direct and simplified proof of a recent result obtained in \cite{CDFMT}, where a sufficient stability condition is proved under a suitable assumption on the mass ratio.

7 pages

References in corpus (1)

• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength

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• Two-dimensional Time-dependent Point Interactions
• Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger
• Energy contribution of a point interacting impurity in a Fermi gas
• A Quantum Model of Feshbach Resonances