Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isolated States   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.

34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics