%0 Report
%D 2015
%T Stability of the (2+2)-fermionic system with zero-range interaction
%A Alessandro Michelangeli
%A Paul Pfeiffer
%X We introduce a 3D model, and we study its stability, consisting of two distinct pairs of identical fermions coupled with a two-body interaction between fermions of different species, whose effective range is essentially zero (a so called (2+2)-fermionic system with zero-range interaction). The interaction is modelled by implementing the the celebrated (and ubiquitous, in the literature of this field) Bethe-Peierls contact condition with given two-body scattering length within the Krein-Visik-Birman theory of extensions of semi-bounded symmetric operators, in order to make the Hamiltonian a well-defined (self-adjoint) physical observable. After deriving the expression for the associated energy quadratic form, we show analytically and numerically that the energy of the model is bounded below, thus describing a stable system.
%G en
%U http://urania.sissa.it/xmlui/handle/1963/34474
%1 34649
%2 Mathematics
%4 1
%# MAT/07
%$ Submitted by Alessandro Michelangeli (alemiche@sissa.it) on 2015-06-24T10:47:38Z
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