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Isolated States

1994/06/30 by A. M. Shirokov, Yu.F. Smirnov, Shirokov, A. M. +4
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9406036

10 pages in LaTeX including 2 figures (one figure is generated by Latex, another one is a postscript file), 47kb including the figures. Preprint IFUNAM FT94-49, Presented as a talk at XVII Symposium on Nuclear Physics, Oaxtepec, Mexico, January 4-7, 1994

arxiv created 1994/06/30 · openalex publication_date 1994/06/30 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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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