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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorPfeiffer, Paul
dc.date.accessioned2015-06-26T07:15:36Z
dc.date.available2015-06-26T07:15:36Z
dc.date.issued2015-06-24
dc.descriptionThis SISSA preprint has 17 pages and recorded in PDF formaten_US
dc.description.abstractWe 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.identifier.sissaPreprint29/2015/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/34474
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesSISSA;29/2015/MATE
dc.subject.miurMAT/07en_US
dc.titleStability of the (2+2)-fermionic system with zero-range interactionen_US
dc.typePreprinten_US
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