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.
Energy lower bound for the unitary N + 1 fermionic model / Correggi, Michele; Finco, Domenico; Teta, Alessandro. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 111:(2015). [10.1209/0295-5075/111/10003]
Energy lower bound for the unitary N + 1 fermionic model
CORREGGI, MICHELE;TETA, Alessandro
2015
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. 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.File | Dimensione | Formato | |
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