Isolated States
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 -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 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.
Cite
@article{arxiv.nucl-th/9406036,
title = {Isolated States},
author = {A. M. Shirokov and Yu. F. Smirnov and S. A. Zaytsev},
journal= {arXiv preprint arXiv:nucl-th/9406036},
year = {2009}
}
Comments
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