caa a22 4500 44586592X CHVBK 20180317145457.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1140/epjd/e2011-20174-4 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-20174-4 Spectral singularities and zero energy bound states [Elektronische Daten] [W. Heiss, R. Nazmitdinov] Single particle scattering around zero energy is re-analysed in view of recent experiments with ultra-cold atoms, nano-structures and nuclei far from the stability valley. For non-zero orbital angular momentum the low energy scattering cross section exhibits dramatic changes depending on the occurrence of either a near resonance or a bound state or the situation in between, that is a bound state at zero energy. Such state is singular in that it has an infinite scattering length, behaves for the eigenvalues but not for the eigenfunctions as an exceptional point and has no pole in the scattering function. These results should be observable whenever the interaction or scattering length can be controlled. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Heiss W. National Institute for Theoretical Physics, Stellenbosch Institute for Advanced Study, and Institute of Theoretical Physics, University of Stellenbosch, 7602, Matieland, South Africa aut Nazmitdinov R. Department de Física, Universitat de les Illes Balears, E-07122, Palma de Mallorca, Spain aut The European Physical Journal D Springer-Verlag 63/3(2011-08-01), 369-373 1434-6060 63:3<369 2011 63 10053 https://doi.org/10.1140/epjd/e2011-20174-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-20174-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Heiss W. National Institute for Theoretical Physics, Stellenbosch Institute for Advanced Study, and Institute of Theoretical Physics, University of Stellenbosch, 7602, Matieland, South Africa aut NATIONALLICENCE 700 1- Nazmitdinov R. Department de Física, Universitat de les Illes Balears, E-07122, Palma de Mallorca, Spain aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 63/3(2011-08-01), 369-373 1434-6060 63:3<369 2011 63 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer