Isolated States

Details Isolated States Isolated States

1994-06-30

arxiv.org/abs/nucl-th/9406036v1

Physics

Nuclear Physics

Nuclear Theory

10 pages in LaTeX including 2 figures (one figure is generated by Latex, another one is a postscript file), 47kb including the

Scientific paper

We show that a quantum system with nonlocal interaction can have bound states of unusual type (isolated states (IS)). IS is a bound state that do not generate a $S$-matrix pole. IS can have positive as well as negative energy and can be treated as a generalization of bound states embedded in continuum on the case of discrete spectrum states. Formation of IS in the spectrum of quantum system is studied using a simple rank--2 separable potential with harmonic oscillator formfactors. Some physical applications are discussed, in particular, we propose separable $NN$ potential that describes not only most important two-nucleon data (deuteron binding energy and s-wave triplet and singlet scattering phases) but also the trinucleon binding energy without making use of three-body forces.

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