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Stability of the (2+2)-fermionic system with zero-range interaction

Show simple item record Michelangeli, Alessandro Pfeiffer, Paul 2015-06-26T07:15:36Z 2015-06-26T07:15:36Z 2015-06-24
dc.description This SISSA preprint has 17 pages and recorded in PDF format en_US
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;29/2015/MATE
dc.title Stability of the (2+2)-fermionic system with zero-range interaction en_US
dc.type Preprint en_US
dc.subject.miur MAT/07 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 29/2015/MATE

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