$J$-matrix and Isolated States
| dc.creator | Shirokov, A. M. | |
| dc.creator | Zaytsev, S. A. | |
| dc.date | 2003-12-08 | |
| dc.date.accessioned | 2026-07-07T06:08:33Z | |
| dc.date.available | 2026-07-07T06:08:33Z | |
| dc.description | 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 is not in correspondence with the $S$-matrix pole. IS can have a positive as well as a negative energy and can be treated as a generalization of the bound states embedded in continuum on the case of discrete spectrum states. The formation of IS in the spectrum of a quantum system is studied using a simple rank--2 separable potential with harmonic oscillator form factors. Some physical applications are discussed, in particular, we propose a separable $NN$ potential supporting IS that describes the deuteron binding energy and the s-wave triplet and singlet scattering phase shifts. We use this potential to examine the so-called problem of the three-body bound state collapse discussed in literature. We show that the variation of the two-body IS energy causes drastic changes of the binding energy and of the spectrum of excited states of the three-nucleon system. | |
| dc.description | to be published in "$J$-matrix method and its applications" (Nova Science Publishers); 14 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0312065 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0312065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91666 | |
| dc.subject | Quantum Physics | |
| dc.title | $J$-matrix and Isolated States | |
| dc.type | text |